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A185252
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a(n) = Sum_{k=0..ceiling(n/2)} k*binomial(n,k).
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1
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0, 1, 2, 9, 16, 55, 96, 294, 512, 1467, 2560, 7018, 12288, 32630, 57344, 148620, 262144, 666451, 1179648, 2952258, 5242880, 12949986, 23068672, 56346964, 100663296, 243517150, 436207616, 1046377764, 1879048192, 4474004812, 8053063680, 19047319832, 34359738368
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OFFSET
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0,3
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LINKS
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FORMULA
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MATHEMATICA
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Table[Sum[k Binomial[n, k], {k, 0, Ceiling[n/2]}], {n, 0, 50}] (* G. C. Greubel, Jun 25 2017 *)
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PROG
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(PARI) a(n)=sum(k=0, (n+1)\2, k*binomial(n, k))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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