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A158531 a(n) = Hermite(n,8). 1
1, 16, 254, 4000, 62476, 967616, 14857096, 226102144, 3409634960, 50936525056, 753610971616, 11039045044736, 160045279340224, 2295787388369920, 32571420951072896, 456860688342808576, 6332628384952750336, 86702512132274130944, 1171930829027992583680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The first negative term is a(40) = -15216726248438640506371403737952889391284224. - Robert Israel, Apr 30 2018

LINKS

Robert Israel, Table of n, a(n) for n = 0..722

FORMULA

E.g.f.: exp(-x^2+16*x). a(n+2)=16*a(n+1)-(2*n+2)*a(n). - Robert Israel, Apr 30 2018

MAPLE

seq(orthopoly[H](n, 8), n=0..100); # Robert Israel, Apr 30 2018

MATHEMATICA

Table[HermiteH[n, 8], {n, 0, 40}] (* Vincenzo Librandi, May 01 2018 *)

PROG

(PARI) a(n) = polhermite(n, 8); \\ Michel Marcus, May 01 2018

(Magma) I:=[1, 16]; [n le 2 select I[n] else 16*Self(n-1)-(2*n-4)*Self(n-2): n in [1..25]]; // Vincenzo Librandi, May 01 2018

CROSSREFS

Sequence in context: A160446 A317894 A228982 * A171321 A077412 A208498

Adjacent sequences: A158528 A158529 A158530 * A158532 A158533 A158534

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Nov 11 2009

STATUS

approved

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Last modified November 28 21:48 EST 2022. Contains 358421 sequences. (Running on oeis4.)