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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
OFFSET
0,2
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, ...
MATHEMATICA
HermiteH[Range[0, 20], 20/21]//Numerator (* Harvey P. Dale, Dec 05 2022 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 20/21)) \\ Charles R Greathouse IV, Jan 29 2016
CROSSREFS
Cf. A009965 (denominators).
Sequence in context: A183464 A359932 A189286 * A010840 A233725 A175603
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved