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A168136
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a(n) = Bernoulli(2n)*(2n+1)!/n!.
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1
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1, 1, -2, 20, -504, 25200, -2189088, 302702400, -62564261760, 18427508985600, -7449695786856960, 4010313259477324800, -2803674333549374208000, 2492728196309155284480000, -2768630339381333070099456000
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OFFSET
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0,3
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COMMENTS
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Given by alternating sums of coefficients of polynomials spawned by sums of binomial(n,k)^2*k^(2m). - John M. Campbell, Nov 30 2011
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LINKS
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MATHEMATICA
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Table[BernoulliB[2*n]*(2*n+1)!/n!, {n, 0, 20}]
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PROG
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(PARI) a(n)=bernfrac(2*n)*(2*n+1)!/n!
(Magma) [Bernoulli(2*n)*Factorial(2*n+1)/Factorial(n): n in [0..20]]; // Vincenzo Librandi, Jul 14 2016
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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