A144143 a(n) = Hermite(n,4).

1, 8, 62, 464, 3340, 23008, 150664, 929216, 5324432, 27728000, 125984224, 453313792, 854857408, -4040671744, -54551666560, -323274523648, -949646192384, 2747615217664, 54268892282368, 335236990423040, 619678016654336, -8452055483686912, -93642920568977408

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