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A159763
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Numerator of Hermite(n, 16/21).
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1
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1, 32, 142, -51904, -2036660, 117944192, 12755884744, -215972352256, -85665947681648, -1217409408294400, 641059191631501024, 31251445113364640768, -5219510033581154430272, -497789616154448299657216, 43917634328099171108467840, 7552070478774301079638274048
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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) = 21^n * Hermite(n,16/21).
E.g.f.: exp(32*x-441*x^2).
a(n+2) = 32*a(n+1) - 882*(n+1)*a(n). (End)
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MAPLE
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seq(21^n*orthopoly[H](n, 16/21), n=0..50); # Robert Israel, Jan 02 2018
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(32/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, May 21 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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