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A159281
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Numerator of Hermite(n, 2/11).
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1
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1, 4, -226, -2840, 152716, 3359984, -171346424, -5564082464, 268004512400, 11844081699904, -536337501207584, -30808027718598016, 1304498317340196544, 94684505764169424640, -3725213683295580628864, -335691960262188333195776, 12179757829314204349993216
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = 4*a(n-1) - 242*(n-1)*a(n-2) for n >= 2.
a(n) = 11^n * Hermite(n, 2/11).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MAPLE
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N:= 30; # to get a(n) for n <= N
for n from 2 to N do
od:
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(4/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 27 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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