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A160077 Numerator of Hermite(n, 19/26). 1
1, 19, 23, -12407, -259055, 11852219, 662995111, -11439393023, -1785994900063, -3001784367005, 5375962583018551, 112289320237829369, -17854331799144214607, -794677787068375998197, 63353055971140535017415, 4964123351859225388799089, -226881650088357230151111359 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

FORMULA

Conjecture: a(n) -19*a(n-1) +338*(n-1)*a(n-2)=0. - R. J. Mathar, Feb 16 2014

E.g.f.: exp(-x*(169*x-19)).  The conjecture is a consequence. - Robert Israel, Jan 02 2017

EXAMPLE

Numerator of 1, 19/13, 23/169, -12407/2197, -259055/28561, 11852219/371293,...

MAPLE

A160077 := proc(n)

        orthopoly[H](n, 19/26) ;

        numer(%) ;

end proc: # R. J. Mathar, Feb 16 2014

MATHEMATICA

f[n_] := HermiteH[n, 19/26]*13^n; Array[f, 17, 0] (* Robert G. Wilson v, Nov 13 2011 *)

HermiteH[Range[0, 30], 19/26]//Numerator (* Harvey P. Dale, Feb 02 2017 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 19/26)) \\ Charles R Greathouse IV, Jan 29 2016

CROSSREFS

Cf. A001022 (denominators)

Sequence in context: A240585 A226607 A284495 * A076353 A093020 A105504

Adjacent sequences:  A160074 A160075 A160076 * A160078 A160079 A160080

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified July 26 18:35 EDT 2017. Contains 289839 sequences.