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A160062 Numerator of Hermite(n, 17/25). 1
1, 34, -94, -88196, -2646164, 351010424, 28472879416, -1664500279856, -305730704405104, 6250158848786464, 3651975825416159776, 46040192454318632384, -48649301056025363418944, -2344679122719641842004096, 710832051987944332929700736, 65200174415183839554681505024 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..380

FORMULA

From G. C. Greubel, Sep 23 2018: (Start)

a(n) = 25^n * Hermite(n, 17/25).

E.g.f.: exp(34*x - 625*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(34/25)^(n-2*k)/(k!*(n-2*k)!)). (End)

EXAMPLE

Numerators of 1, 34/25, -94/625, -88196/15625, -2646164/390625, ...

MATHEMATICA

Numerator[HermiteH[Range[0, 20], 17/25]] (* Harvey P. Dale, Feb 04 2015 *)

Table[25^n*HermiteH[n, 17/25], {n, 0, 30}] (* G. C. Greubel, Sep 23 2018 *)

PROG

(PARI) a(n)=numerator(polhermite(n, 17/25)) \\ Charles R Greathouse IV, Jan 29 2016

(PARI) x='x+O('x^30); Vec(serlaplace(exp(34*x - 625*x^2))) \\ G. C. Greubel, Sep 23 2018

(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(34/25)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 23 2018

CROSSREFS

Cf. A009969 (denominators).

Sequence in context: A260467 A202421 A202414 * A247218 A233031 A233028

Adjacent sequences:  A160059 A160060 A160061 * A160063 A160064 A160065

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified March 28 20:01 EDT 2020. Contains 333103 sequences. (Running on oeis4.)