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A351779 a(n) = n! * Sum_{k=0..n} (-n)^(n-k) * (n-k)^k/k!. 3
1, -1, 4, -63, 2288, -138525, 12381084, -1528482823, 249005711296, -51739455340953, 13353206066063900, -4190486732316600771, 1571373340568392914288, -693899460077821703051125, 356404409990391961980227068, -210670220153918100996704166975 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = n! * [x^n] 1/(1 + n*x*exp(x)).
PROG
(PARI) a(n) = n!*sum(k=0, n, (-n)^(n-k)*(n-k)^k/k!);
CROSSREFS
Main diagonal of A351776.
Sequence in context: A237644 A024256 A292394 * A203512 A354653 A213545
KEYWORD
sign
AUTHOR
Seiichi Manyama, Feb 19 2022
STATUS
approved

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Last modified May 23 06:14 EDT 2024. Contains 372760 sequences. (Running on oeis4.)