OFFSET
2,5
COMMENTS
See the paper by Muschielok for precise definition.
LINKS
Michel Marcus, Table of n, a(n) for n = 2..4951 (Rows 2..100)
Christoph Muschielok, Another Approach on Power Sums, arXiv:2207.01935 [math.CO], 2022.
Christoph Muschielok, Further Identities for cmk- and amk-Weighted Sums and a Remark on a Representation of Pythagoras' Equation, arXiv:2208.11032 [math.NT], 2022.
EXAMPLE
Triangle begins:
1;
0, 1;
1, -2, 2;
0, 5, -10, 6;
1, -10, 40, -54, 24;
0, 21, -140, 336, -336, 120;
...
PROG
(PARI) mat(n) = my(M = matrix(n, n)); M[1, 1] = 1; for (i=2, n, my(p=x + prod(k=-1, i-2, x+k)/(i-2)!); for (j=1, i, M[i, j] = polcoef(p, j, x)); ); my(iM = 1/M); matrix(n-1, n-1, i, j, iM[i+1, j+1]);
tabl(nn) = {my(m = mat(nn)); for (n=1, nn-1, row = vector(n, k, m[n, k]); print(row, ", "); ); }
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Michel Marcus, Jul 07 2022
STATUS
approved