A158516 a(n) = Hermite(n,6).

1, 12, 142, 1656, 19020, 214992, 2389704, 26096544, 279702672, 2938887360, 30232000224, 304006255488, 2982971060928, 28499502599424, 264436783608960, 2375255330523648, 20569960458014976, 170831354919422976, 1350597603460566528, 10057242464427571200

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..726

Formula

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

Mathematica

HermiteH[Range[0, 30], 6] (* Harvey P. Dale, Jul 20 2015 *)

Prog

(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Exp(12*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(12*x - x^2))) \\ G. C. Greubel, Jul 12 2018
(PARI) for(n=0, 30, print1(polhermite(n, 6), ", ")) \\ G. C. Greubel, Jul 13 2018

Crossrefs

Sequence in context: A135326 A056340 A056330 * A163448 A219307 A172210

Adjacent sequences: A158513 A158514 A158515 * A158517 A158518 A158519

Keyword

sign

Author

N. J. A. Sloane, Nov 11 2009

Status

approved