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A159840
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Numerator of Hermite(n, 15/22).
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1
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1, 15, -17, -7515, -100383, 5768775, 207995055, -5256335475, -431188655295, 3708435650175, 994755425985135, 5946917116353525, -2558835187227126495, -55652375114297534025, 7215309872302076942895, 296779894971771199420125, -21739876411879971311406975
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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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a(n) = 11^n * Hermite(n, 15/22).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(15/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
D-finite with recurrence a(n) -15*a(n-1) +242*(n-1)*a(n-2)=0. [DLMF] - R. J. Mathar, Feb 06 2021
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MATHEMATICA
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Table[11^n*HermiteH[n, 15/22], {n, 0, 30}] (* G. C. Greubel, Jul 11 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(15/11)^(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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