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A076726
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a(n) = sum{k=0..inf} (k^n)/(2^k)
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2
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2, 2, 6, 26, 150, 1082, 9366, 94586, 1091670, 14174522, 204495126, 3245265146, 56183135190, 1053716696762, 21282685940886, 460566381955706, 10631309363962710, 260741534058271802, 6771069326513690646
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(n) = A000670(n)*2. - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 06 2004
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EXAMPLE
| a(0) = 2 because 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ... = 2; a(1) = 2 because 0 + 1/2 + 2/4 + 3/8 + 4/16 + 5/32 + ... = 2
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MATHEMATICA
| f[n_] := Sum[(k^n)/(2^k), {k, 0, Infinity}]; Table[ f[n], {n, 0, 18}]
a[n_] := (-1)^(n+1) PolyLog[-n, 2] (* From Vladimir Reshetnikov, Jan 23 2011 *)
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CROSSREFS
| Same as A000629 except for a(0).
Sequence in context: A093453 A052660 A135407 * A032272 A179320 A004304
Adjacent sequences: A076723 A076724 A076725 * A076727 A076728 A076729
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KEYWORD
| nonn
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AUTHOR
| Charles G. Waldman (cgw(AT)alum.mit.edu), Oct 27 2002
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 29 2002
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