A237987 a(n) = Hermite(n,1/5)*5^n/2^round(n/2)*(-1)^floor(n/2).

1, 1, 23, 73, 1579, 8879, 179617, 1511467, 28410041, 330703441, 5730852343, 88406712593, 1399170969139, 27921184747039, 398888195476097, 10171302856939747, 129240467589656881, 4197761610365555681, 46531675504873063063, 1935524400169373119513

Offset: 0

Author

M. F. Hasler, Feb 16 2014

Keywords

• sign

Comments

The "quintessence" of sequence A158960. Intended to be read as: H_n(1/5) = (-1)^floor(n/2)*2^round(n/2)*a(n)/5^n; where "round" could be replaced by "ceiling".

First negative term is a(32). Georg Fischer, Feb 15 2019

Links

• G. C. Greubel, Table of n, a(n) for n = 0..450

Programs

Mathematica

Table[HermiteH[n, 1/5]*5^n/2^Ceiling[n/2]*(-1)^Floor[n/2], {n, 0, 50}] (* G. C. Greubel, Jul 12 2018 *)

PARI

vector(30,n,polhermite(n,1/5)*5^n/2^((n+1)\2)/(-1)^(n\2))