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A082136
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Expansion of e.g.f. x*exp(5*x)*cosh(x).
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5
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0, 1, 10, 78, 560, 3880, 26400, 177632, 1185280, 7853184, 51699200, 338331136, 2201948160, 14258137088, 91894620160, 589744496640, 3770069811200, 24015941435392, 152494553825280, 965472423378944, 6096346179174400
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OFFSET
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0,3
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COMMENTS
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Binomial transform of A082135. 5th binomial transform of (0,1,0,3,0,5,0,7,...)
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LINKS
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FORMULA
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a(n) = n*(4^(n-1) + 6^(n-1))/2.
E.g.f.: x*exp(5*x)*cosh(x).
G.f. x*(1-10*x+26*x^2) / ( (6*x-1)^2*(4*x-1)^2 ). - R. J. Mathar, Nov 24 2012
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MATHEMATICA
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With[{nmax = 50}, CoefficientList[Series[x*Exp[5*x]*Cosh[x], {x, 0, nmax}], x]*Range[0, nmax]!] (* or *) Table[n*(4^(n-1)+6^(n-1))/2, {n, 0, 30}] (* G. C. Greubel, Feb 05 2018 *)
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PROG
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(PARI) for(n=0, 30, print1(n*(4^(n-1)+6^(n-1))/2, ", ")) \\ G. C. Greubel, Feb 05 2018
(Magma) [n*(4^(n-1)+6^(n-1))/2: n in [0..30]]; // G. C. Greubel, Feb 05 2018
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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