Sum of odd squares

Algebra Level 3

The sum of squares formula is given by

\[ 1^2 + 2^2 + 3^2 + \ldots + n^2 = \frac { n(n+1) (2n+1) } {6}. \]

The sum of odd squares can be expressed as

\[ 1^2 + 3^2 + 5 ^2 + \ldots + (2n-1)^2 = An^3 + Bn^2 + Cn + D.\]

The value of \(A\) can be expressed as \( \frac{a}{b} \), where \(a\) and \(b\) are positive coprime integers. What is the value of \(a+b \)?

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