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A343584
a(n) = Sum_{j=0..n}(-1)^(n-j)*binomial(n, j)*A028246(n+1, j+1).
0
1, 0, -3, -10, 25, 574, 2653, -30234, -644079, -2438722, 102934381, 2094370486, 680814121, -762930678498, -14273311787139, 102712339811654, 10395244787594401, 165359347094406526, -3771699711640161587, -231946002714537442026, -2649765469158480160839
OFFSET
0,3
MAPLE
T := (n, k) -> add(combinat:-eulerian1(n, j)*binomial(n-j, n-k), j=0..n):
a := n -> add((-1)^(n-j)*T(n, j)*binomial(n, j), j=0..n): seq(a(n), n=0..22);
PROG
(PARI) T(n, j) = stirling(n, k, 2)*(k-1)!; \\ A028246
a(n) = sum(j=0, n, (-1)^(n-j)*binomial(n, j)*T(n+1, j+1)); \\ Michel Marcus, May 04 2021
CROSSREFS
Sequence in context: A227937 A299754 A190529 * A335970 A212967 A355902
KEYWORD
sign
AUTHOR
Peter Luschny, Apr 28 2021
STATUS
approved