OFFSET
2,1
FORMULA
Integral_{1..e} (log(x)^k - log(x)^n) dx = A373966(n,k)*e + T(n,k).
EXAMPLE
Triangle begins:
3;
-5, -8;
25, 22, 30;
-119, -122, -114, -144;
721, 718, 726, 696, 840;
-5039, -5042, -5034, -5064, -4920, -5760;
...
MATHEMATICA
T[n_, k_]:= (-1)^n*n! + (-1)^(k+1)*k!; Table[T[n, k], {n, 2, 10}, {k, n-1}]// Flatten (* Stefano Spezia, Jun 24 2024 *)
CROSSREFS
KEYWORD
AUTHOR
Mohammed Yaseen, Jun 24 2024
STATUS
approved