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A159522
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Numerator of Hermite(n, 3/16).
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1
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1, 3, -119, -1125, 42321, 702963, -24976551, -614805237, 20534573985, 691164284643, -21582336376791, -949437293473413, 27539617738101489, 1540954535989466835, -41203060308232477191, -2884999709417821999893, 70454876663552890207041
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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) = 16^n * Hermite(n,3/16).
E.g.f.: exp(6*x-252*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(3/8)^(n-2k)/(k!*(n-2k)!). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(3/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 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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