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Search: id:A145611
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| A145611 |
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Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=2. |
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+0
2
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| 5, 131, 1327, 148969, 89422, 7869871, 204620705, 32739453941, 556571247527, 42299423848079, 84598851790183, 31132377803126339, 155661889412050564, 3735885348093583561, 216681350219210744683, 429895798848743086730197
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For denominators see A145612. For general properties of A_l(x) see A145609.
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MAPLE
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A := proc(l, x) add(x^(l-d)/d, d=1..l-1) ; end: A145611 := proc(n) numer( A(2*n+1, 2)) ; end: seq(A145611(n), n=1..20) ; # R. J. Mathar, Aug 21 2009
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MATHEMATICA
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m = 2; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; AppendTo[aa, Numerator[k]], {r, 1, 25}]; aa (*Artur Jasinski*)
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CROSSREFS
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Cf. A145609 - A145640.
Sequence in context: A003732 A048434 A142892 this_sequence A070247 A003372 A135758
Adjacent sequences: A145608 A145609 A145610 this_sequence A145612 A145613 A145614
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KEYWORD
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frac,nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 14 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 21 2009
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