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A334562 E.g.f.: exp(-(x + x^2 + x^3)). 3
1, -1, -1, -1, 25, 19, -209, -2269, 2801, 68615, 371071, -2499641, -28306871, -58645861, 1964456495, 15133179179, -37119981599, -1861550428529, -9225044407169, 110317002942095, 2150185424201081, 3953685082287779, -233260896605772881, -2920858244957587661, 7649165533910291665 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..500

FORMULA

a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(3,n)} k*a(n-k)/(n-k)!.

D-finite with recurrence a(n) +(n-1) +2*(n-1)*a(n-2) +3*(n-1)*(n-2)*a(n-3)=0. - R. J. Mathar, May 07 2020

PROG

(PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2-x^3)))

CROSSREFS

Column 3 of A334561.

Cf. A118589, A334569.

Sequence in context: A215537 A104790 A291429 * A171806 A038822 A061438

Adjacent sequences:  A334558 A334560 A334561 * A334563 A334564 A334565

KEYWORD

sign

AUTHOR

Seiichi Manyama, May 06 2020

STATUS

approved

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Last modified July 12 21:31 EDT 2020. Contains 335669 sequences. (Running on oeis4.)