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A160445 Numerator of Hermite(n, 20/21). 0
1, 40, 718, -41840, -3573428, 4674400, 15945793480, 613094814400, -73925536369520, -7283018465187200, 295500169093761760, 76056229626701574400, 175306544520386380480, -797966872588194008230400, -33928739742998510567799680, 8496145352999079190916992000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

DLMF Digital library of mathematical functions, Table 18.9.1 for H_n(x)

FORMULA

E.g.f.: exp(-x*(441*x-40)). - Vincenzo Librandi, Jan 20 2017

D-finite with recurrence a(n) = 40*a(n-1)-882*(n-1)*a(n-2). - [DLMF] Vincenzo Librandi, Jan 20 2017, corrected Feb 06 2021

EXAMPLE

Numerators of 1, 40/21, 718/441, -41840/9261, -3573428/194481, ...

PROG

(PARI) a(n)=numerator(polhermite(n, 20/21)) \\ Charles R Greathouse IV, Jan 29 2016

CROSSREFS

Cf. A009965 (denominators).

Sequence in context: A247410 A183464 A189286 * A010840 A233725 A175603

Adjacent sequences:  A160442 A160443 A160444 * A160446 A160447 A160448

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 12 2009

STATUS

approved

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Last modified September 26 16:15 EDT 2021. Contains 347670 sequences. (Running on oeis4.)