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A160334 Numerator of Hermite(n, 23/31). 1
1, 46, 194, -167900, -8842004, 884083016, 125639477176, -4415829390416, -1893481677885040, -19202364475675424, 31870137298174352416, 1835095760938501860416, -589384037754831073199936, -69436314367007836275831680, 11532279106459848726285343616 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

From G. C. Greubel, Jul 12 2018: (Start)

a(n) = 31^n * Hermite(n, 23/31).

E.g.f.: exp(46*x - 961*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/31)^(n-2*k)/(k!*(n-2*k)!)). (End)

EXAMPLE

Numerators of 1, 46/31, 194/961, -167900/29791, -8842004/923521, ...

MATHEMATICA

Numerator[HermiteH[Range[0, 20], 23/31]] (* Harvey P. Dale, Aug 10 2014 *)

Table[31^n*HermiteH[n, 23/31], {n, 0, 30}] (* G. C. Greubel, Jul 12 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 23/31)) \\ Charles R Greathouse IV, Jan 29 2016

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(46/31)^(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

Cf. A009975 (denominators).

Sequence in context: A235767 A192850 A211334 * A235550 A083358 A254229

Adjacent sequences:  A160331 A160332 A160333 * A160335 A160336 A160337

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified April 2 16:26 EDT 2020. Contains 333188 sequences. (Running on oeis4.)