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A Factorial Evaluation (Posted on 2007-01-12)

Let n be a positive integer and let f(n)= 1²!+ 2²!+ 3²!+...+n²!

Determine polynomials P(n) and Q(n) such that f(n+2)= P(n)f(n+1)+ Q(n)f(n).

No Solution Yet Submitted by K Sengupta

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The Facts are out

| Comment 2 of 5 |

I don't really see where that hint leads

f(n+1)-f(n)=(n+1)²!, f(n+2)-f(n+1)=(n+2)²!

so f(n+2)=(n+2)²!-(n+1)²!+2f(n+1)-f(n)

Posted by Gamer on 2007-01-21 20:26:41

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