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A159659
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Numerator of Hermite(n, 7/20).
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1
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1, 7, -151, -3857, 63601, 3530807, -38885351, -4509165857, 22875330401, 7374792684007, 10447954066249, -14676449689550257, -125720646772599599, 34343434727512419607, 567277724701345894649, -92190673164125353637057, -2347167886252915159406399
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OFFSET
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0,2
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LINKS
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FORMULA
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D-finite with recurrence a(n) -7*a(n-1) +200*(n-1)*a(n-2)=0. [DLMF] - R. J. Mathar, Feb 16 2014
a(n) = 10^n * Hermite(n, 7/20).
E.g.f.: exp(7*x - 100*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(7/10)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerator of 1, 7/10, -151/100, -3857/1000, 63601/10000, 3530807/100000,...
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MAPLE
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orthopoly[H](n, 7/20) ;
numer(%) ;
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MATHEMATICA
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Table[10^n*HermiteH[n, 7/20], {n, 0, 50}] (* G. C. Greubel, Jul 11 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(7/10)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 11 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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