AMENDMENT NO. 1 TO STOCKHOLDER PROTECTION RIGHTS AGREEMENT

Exhibit 4.1

AMENDMENT NO. 1 TO

STOCKHOLDER PROTECTION RIGHTS AGREEMENT

This AMENDMENT NO. 1 (this “Amendment”) to the Stockholder Protection Rights Agreement, dated July 27, 2005 (the “Rights Agreement”), by and between Knology, Inc., a Delaware corporation (the “Company”), and American Stock Transfer & Trust Company, LLC (successor to Wachovia Bank, National Association), as rights agent (the “Rights Agent”), is entered into this April 18, 2012. Capitalized terms used in this Amendment and not otherwise defined herein shall have the meanings given to them in the Rights Agreement.

WITNESSETH:

WHEREAS, the Board of Directors of the Company (the “Board”) has determined that it is in the best interests of the Company and its stockholders to amend the Rights Agreement as set forth herein immediately prior to and in connection with the execution of the Agreement and Plan of Merger, dated as of April 18, 2012 (as amended, modified or supplemented, from time to time, the “Merger Agreement”), by and among WideOpenWest Finance, LLC, a Delaware limited liability company (“Parent”), Kingston Merger Sub, Inc., a Delaware corporation and wholly-owned subsidiary of Parent (“Merger Sub”), and the Company, pursuant to which Merger Sub will be merged with and into the Company (the “Merger”), with the Company surviving the Merger as a wholly-owned subsidiary of Parent;

WHEREAS, the Company desires to amend the Rights Agreement pursuant to Section 5.4 of the Rights Agreement, immediately prior to entering into the Merger Agreement, to facilitate the transactions contemplated by the Merger Agreement;

WHEREAS, pursuant to Section 5.4 of the Rights Agreement, the Company has delivered to the Rights Agent a certificate signed by an appropriate officer of the Company which states that this Amendment is in compliance with the terms of Section 5.4 of the Rights Agreement; and

WHEREAS, pursuant to resolutions adopted at a duly convened special meeting of the Board held on April 18, 2012, the Board has determined that it is in the best interests of the Company and its stockholders, and consistent with the objectives of the Board in adopting the Rights Agreement, to amend the Rights Agreement in the manner set forth herein immediately prior to entering into the Merger Agreement to except from the operation of the Rights Agreement the Merger Agreement, the Merger, and any and all other transactions contemplated by the Merger Agreement and to provide that the Rights Agreement shall expire immediately prior to the effective time of the Merger;

NOW, THEREFORE, in consideration of the foregoing and the mutual agreements herein set forth, the parties hereby agree as follows:

1. Amendment to Section 1.1

a. The definition of “Acquiring Person” in Section 1.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of said definition:

“Notwithstanding anything in this Agreement to the contrary, none of Parent, Merger Sub or any of their respective Affiliates or Associates shall be or become an Acquiring Person, and the term “Acquiring Person” shall not include any of

Parent, Merger Sub or any of their respective Affiliates or Associates, solely by reason of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement.”

b. The definition of “Expiration Time” in Section 1.1 of the Rights Agreement is hereby deleted in its entirety and replaced with the following:

“Expiration Time” shall mean the earliest of (i) the Exchange Time, (ii) the Redemption Time, (iii) the Close of Business on July 27, 2015, (iv) the time of a merger of the Corporation into another corporation pursuant to an agreement entered into prior to a Flip-In Date, and (v) the Effective Time of the Merger in accordance with the terms of the Merger Agreement.”

c. The definition of “Flip-In Date” in Section 1.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of said definition:

“Notwithstanding anything in this Agreement to the contrary, no Flip-In Date shall be deemed to have occurred solely as a result of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement.”

d. The definition of “Flip-Over Transaction or Event” in Section 1.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of said definition:

“Notwithstanding anything in this Agreement to the contrary, a Flip-Over Transaction or Event shall be deemed not to have occurred, and the provisions of such section shall not be made or given effect, solely as a result of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement.”

e. The definition of “Separation Time” in Section 1.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of said definition:

“Notwithstanding anything in this Agreement to the contrary, no Separation Time shall be deemed to have occurred solely as a result of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement.”

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f. The definition of “Stock Acquisition Date” in Section 1.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of said definition:

“Notwithstanding anything in this Agreement to the contrary, no Stock Acquisition Date shall be deemed to have occurred solely as a result of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement.”

g. Section 1.1 of the Rights Agreement is hereby amended by adding the following definitions to the end of Section 1.1:

“Effective Time” shall mean the time at which the Merger becomes effective pursuant to the terms and conditions of the Merger Agreement.

“Merger” shall have the meaning ascribed to such term in the Merger Agreement.

“Merger Agreement” shall mean that certain Agreement and Plan of Merger by and among Parent, Merger Sub and the Company, dated as of April 18, 2012 (as such agreement may be amended from time to time).

“Merger Sub” means Kingston Merger Sub, Inc., a Delaware corporation and wholly-owned subsidiary of Parent.

“Parent” means WideOpenWest Finance, LLC, a Delaware limited liability company.

2. Amendment to Section 3.1

Section 3.1 of the Rights Agreement is hereby amended by adding the following sentence to the end of Section 3.1(a):

“Notwithstanding anything in this Agreement to the contrary, none of (i) the approval, execution, delivery, performance or public announcement of the Merger Agreement (including any amendments or supplements thereto), (ii) the consummation or public announcement of the Merger or (iii) the consummation of any of the other transactions contemplated by the Merger Agreement shall cause the Rights to be adjusted or become exercisable in accordance with this Section 3.1(a).”

3. Amendment to Section 3.2

Section 3.2 of the Rights Agreement is hereby amended by adding the following sentence to the end of Section 3.2(a):

“Notwithstanding anything in this Agreement to the contrary, the provisions of Section 3.2(a) shall not be applicable to the Merger.”

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4. Amendment to Section 5.2

Section 5.2 of the Rights Agreement is hereby amended by adding the following sentence to the end of Section 5.2:

“For the avoidance of doubt, this Agreement shall expire immediately prior to the Effective Time of the Merger in accordance with the terms of the Merger Agreement.”

5. Benefits

All of the covenants and provisions of this Amendment by or for the benefit of the Company or the Rights Agent shall bind and inure to the benefit of their respective successors and assigns hereunder.

6. Severability

If any term, provision, covenant or restriction of this Amendment is held by a court of competent jurisdiction or other authority to be invalid, void or unenforceable, the remainder of the terms, provisions, covenants and restrictions of this Amendment shall remain in full force and effect and shall in no way be affected, impaired or invalidated.

7. Effectiveness and Effect of Amendment

a. Notwithstanding anything to the contrary set forth in Section 5.4, this Amendment shall become effective as of the date first written above, but such effectiveness is contingent upon the execution and delivery of the Merger Agreement by the parties thereto. The Company shall notify the Rights Agent via electronic mail of such execution and delivery of the Merger Agreement promptly thereafter.

b. Except as specifically modified herein, the Rights Agreement shall not otherwise be supplemented or amended by virtue of this Amendment, but shall remain in full force and effect. The execution, delivery and effectiveness of this Amendment shall not, except as expressly provided herein, constitute a waiver or amendment of any provision of the Rights Agreement. Upon and after the effectiveness of this Amendment, each reference in the Rights Agreement to “this Agreement”, “hereunder”, “hereof” or words of like import referring to the Rights Agreement, and each reference in any other document to “the Rights Agreement”, “thereunder”, “thereof” or words of like import referring to the Rights Agreement, shall mean and be a reference to the Rights Agreement as modified hereby.

8. Governing Law

This Amendment shall be deemed to be a contract made under the laws of the State of Delaware and for all purposes shall be governed by and construed in accordance with the laws of the State of Delaware applicable to contracts made and to be performed entirely within State of Delaware.

9. Descriptive Headings

Descriptive headings of the several sections of this Amendment are inserted for convenience only and shall not control or affect the meaning or construction of any of the provisions hereof.

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10. Counterparts

This Amendment may be executed in any number of counterparts and each of such counterparts shall for all purposes be deemed to be an original, and all such counterparts shall together constitute but one and the same instrument. A signature to this Agreement transmitted electronically shall have the same authority, effect, and enforceability as an original signature.

[Signature Pages Follow]

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IN WITNESS WHEREOF, the parties have executed this Amendment as of the date set forth in the first paragraph hereof.

[Signature Page to Rights Agreement Amendment]

[Signature Page to Rights Agreement Amendment]