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A023873
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G.f.: prod_{k=1..inf} (1 - x^k)^(-k^4).
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2
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1, 1, 17, 98, 490, 2411, 11940, 56093, 256274, 1140980, 4977222, 21273772, 89281011, 368408970, 1496993290, 5996312751, 23700208290, 92510062036, 356887002352, 1361671469470, 5141380256124, 19221678032134, 71190778935805, 261320839754142, 951091521384860
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OFFSET
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0,3
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..800
G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.
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MAPLE
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with (numtheory):
a:= proc(n) option remember; `if`(n=0, 1,
add (add (d*d^4, d=divisors(j)) *a(n-j), j=1..n)/n)
end:
seq (a(n), n=0..25); # Alois P. Heinz, Nov 02 2012
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MATHEMATICA
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max = 27; Series[ Product[1/(1 - x^k)^k^4, {k, 1, max}], {x, 0, max}] // CoefficientList[#, x] & (* Jean-François Alcover, Mar 05 2013 *)
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CROSSREFS
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Column k=4 of A144048.
Sequence in context: A044649 A160827 A000538 * A098997 A139497 A139913
Adjacent sequences: A023870 A023871 A023872 * A023874 A023875 A023876
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KEYWORD
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nonn
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AUTHOR
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Olivier Gérard
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EXTENSIONS
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Definition corrected by Franklin T. Adams-Watters and R. J. Mathar, Dec 04 2006
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STATUS
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approved
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