A391310 - OEIS

A391310

Array read by ascending antidiagonals: A(n, k) = HurwitzZeta(-n, k) - HurwitzZeta(-n, k+n) with k >= 0.

0, 0, 0, 1, 1, 0, 9, 5, 2, 0, 98, 36, 13, 3, 0, 1300, 354, 99, 25, 4, 0, 20515, 4425, 978, 216, 41, 5, 0, 376761, 67171, 12200, 2258, 405, 61, 6, 0, 7907396, 1200304, 184819, 28975, 4578, 684, 85, 7, 0, 186884496, 24684612, 3297455, 446899, 61500, 8418, 1071, 113, 8, 0

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OFFSET

0,7

LINKS

Table of n, a(n) for n=0..54.

FORMULA

A(n, k) = Sum_{i=0..n-1} (k+i)^n.

EXAMPLE

The array begins as:

0, 0, 0, 0, 0, 0, ...

0, 1, 2, 3, 4, 5, ...

1, 5, 13, 25, 41, 61, ...