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A144142 a(n) = Hermite(n,3). 1
1, 6, 34, 180, 876, 3816, 14136, 39024, 36240, -406944, -3093984, -10425024, 5517504, 283305600, 1556378496, 1405714176, -38257069824, -274525272576, -346411261440, 7804442244096, 59990281399296, 47763998631936, -2233007826978816, -15499662901678080 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..729

FORMULA

E.g.f.: exp(6*x - x^2). - G. C. Greubel, Jul 12 2018

MATHEMATICA

lst={}; Do[AppendTo[lst, HermiteH[n, 3]], {n, 0, 7^2}]; lst

HermiteH[Range[0, 30], 3] (* Harvey P. Dale, Dec 11 2015 *)

PROG

(PARI) for(n=0, 30, print1(polhermite(n, 3), ", ")) \\ G. C. Greubel, Jul 12 2018

(MAGMA) [(&+[(-1)^k*Factorial(n)*(6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]]): n in [0..30]]; // G. C. Greubel, Jul 12 2018

CROSSREFS

Sequence in context: A266359 A198765 A274405 * A126643 A320745 A084775

Adjacent sequences:  A144139 A144140 A144141 * A144143 A144144 A144145

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 January 28 06:00 EST 2021. Contains 340490 sequences. (Running on oeis4.)