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A293604 E.g.f.: exp(x * (1 - x)). 2
1, 1, -1, -5, 1, 41, 31, -461, -895, 6481, 22591, -107029, -604031, 1964665, 17669471, -37341149, -567425279, 627491489, 19919950975, -2669742629, -759627879679, -652838174519, 31251532771999, 59976412450835, -1377594095061119, -4256461892701199 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..732

FORMULA

a(n) = (-1)^n * A000321(n).

a(n) = a(n-1) - 2 * (n-1) * a(n-2) for n > 1.

E.g.f.: Product_{k>=1} (1 + x^k)^(mu(k)/k). - Ilya Gutkovskiy, May 23 2019

MATHEMATICA

CoefficientList[Series[E^(x*(1-x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Oct 13 2017 *)

PROG

(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x*(1-x))))

(PARI) a(n) = (-1)^n*polhermite(n, -1/2); \\ Michel Marcus, Oct 13 2017

CROSSREFS

Cf. A111884, A293571, A293572, A293573.

Cf. A000321.

Sequence in context: A082437 A308440 A039817 * A000321 A293573 A039922

Adjacent sequences:  A293601 A293602 A293603 * A293605 A293606 A293607

KEYWORD

sign

AUTHOR

Seiichi Manyama, Oct 12 2017

STATUS

approved

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Last modified May 12 07:28 EDT 2021. Contains 343821 sequences. (Running on oeis4.)