Sum of odd squares

Algebra Level 3

The sum of squares formula is given by

12+22+32++n2=n(n+1)(2n+1)6. 1^2 + 2^2 + 3^2 + \ldots + n^2 = \frac { n(n+1) (2n+1) } {6}.

The sum of odd squares can be expressed as

12+32+52++(2n1)2=An3+Bn2+Cn+D. 1^2 + 3^2 + 5 ^2 + \ldots + (2n-1)^2 = An^3 + Bn^2 + Cn + D.

The value of AA can be expressed as ab \frac{a}{b} , where aa and bb are positive coprime integers. What is the value of a+ba+b ?

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