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A144143 a(n) = Hermite(n,4). 1
1, 8, 62, 464, 3340, 23008, 150664, 929216, 5324432, 27728000, 125984224, 453313792, 854857408, -4040671744, -54551666560, -323274523648, -949646192384, 2747615217664, 54268892282368, 335236990423040, 619678016654336, -8452055483686912, -93642920568977408 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..728

FORMULA

E.g.f.: exp(8*x - x^2). - G. C. Greubel, Jul 12 2018

MATHEMATICA

lst={}; Do[AppendTo[lst, HermiteH[n, 4]], {n, 0, 7^2}]; lst

Table[HermiteH[n, 4], {n, 0, 50}] (* G. C. Greubel, Jul 12 2018 *)

PROG

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(8*x - x^2))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 12 2018

(PARI) x='x+O('x^30); Vec(serlaplace(exp(8*x - x^2))) \\ G. C. Greubel, Jul 12 2018

(PARI) a(n) = polhermite(n, 4); \\ Michel Marcus, Jul 13 2018

CROSSREFS

Sequence in context: A056054 A167251 A227439 * A284225 A229011 A126628

Adjacent sequences:  A144140 A144141 A144142 * A144144 A144145 A144146

KEYWORD

sign

AUTHOR

Vladimir Joseph Stephan Orlovsky, Sep 11 2008

EXTENSIONS

Offset corrected by Alois P. Heinz, Oct 23 2015

STATUS

approved

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Last modified December 2 10:39 EST 2020. Contains 338876 sequences. (Running on oeis4.)