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A159520
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Numerator of Hermite(n, 14/15).
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1
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1, 28, 334, -15848, -894644, 3476368, 2110287304, 49701850912, -5255753182064, -326087752380992, 12155343320691424, 1807744498693823872, -9552103473995480384, -10029279190218522359552, -224940012003245065821056, 56886138562285829022188032
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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) -28*a(n-1) +450*(n-1)*a(n-2)=0. [DLMF] - R. J. Mathar, Feb 16 2014
a(n) = 15^n * Hermite(n,14/15).
E.g.f.: exp(28*x-225*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(28/15)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 28/15, 334/225, -15848/3375, -894644/50625, 3476368/759375
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MAPLE
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orthopoly[H](n, 14/15) ;
numer(%) ;
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(28/15)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 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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