OFFSET
1,8
LINKS
Seiichi Manyama, Antidiagonals n = 1..140, flattened
FORMULA
A(n,k) = n^k - Sum_{j=1..n-1} binomial(n-1,j)*j^k*A(n-j,k).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, 1, 3, 7, 15, 31, ...
0, -1, -1, 5, 35, 149, ...
0, -2, -26, -146, -650, -2642, ...
0, 9, 29, -351, -5251, -46071, ...
0, 6, 756, 9936, 83376, 559656, ...
0, -155, -1793, 51421, 1623439, 28735405, ...
MATHEMATICA
T[n_, k_] := T[n, k] = n^k - Sum[Binomial[n-1, j] * j^k * T[n-j, k], {j, 1, n-1}]; Table[T[k, n - k], {n, 1, 10}, {k, 1, n}] // Flatten (* Amiram Eldar, May 12 2021 *)
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, May 30 2019
STATUS
approved