# How to find closed formula for the sum of the first n odd perfect squares? [duplicate]

I do know formula for finding sum of squares of n odd numbers but I am not sure how to find closed formula.

Note: From closed formula I mean a reduced fraction in factored form, with no ellipses (“. . .”) in it.

• You you mean sum of squares of odd numbers, or sums of odd numbers, of which you have $n^2$ of them? – law-of-fives May 8 '17 at 4:13
• Please try to place your actual question in both the body and the title... – fleablood May 8 '17 at 4:13

• Do you know the formulas $$1 + 2 + 3 + \cdots +\,n = \frac{n(n+1)}{2}$$ $$1^2 + 2^2 + 3^2 + \cdots +\,n^2 = \frac{n(n+1)(2n+1)}{6}$$ ?? – quasi May 8 '17 at 4:30