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A370700
Expansion of e.g.f. exp(-x^2)/(1-x).
1
1, 1, 0, 0, 12, 60, 240, 1680, 15120, 136080, 1330560, 14636160, 176299200, 2291889600, 32069157120, 481037356800, 7697116627200, 130850982662400, 2355300044697600, 44750700849254400, 895014687427660800, 18795308435980876800, 413496757432991232000
OFFSET
0,5
FORMULA
a(n) = n! * Sum_{k=0..floor(n/2)} (-1)^k/k!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-x^2)/(1-x)))
(PARI) a(n) = n!*sum(k=0, n\2, (-1)^k/k!);
CROSSREFS
Cf. A355268.
Sequence in context: A260356 A120571 A086950 * A374648 A074433 A280175
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Feb 27 2024
STATUS
approved