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A023015
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Number of partitions of n into parts of 17 kinds.
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2
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1, 17, 170, 1275, 7905, 42619, 206091, 912475, 3753600, 14503040, 53073898, 185172670, 619237835, 1993524975, 6200890505, 18693654410, 54763023032, 156250892610, 435071511875, 1184288668525, 3156320339542, 8247548150893, 21155326555195, 53326448236250
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OFFSET
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0,2
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COMMENTS
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a(n) is Euler transform of A010856. - Alois P. Heinz, Oct 17 2008
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..1000
Index entries for expansions of Product_{k >= 1} (1-x^k)^m
N. J. A. Sloane, Transforms
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FORMULA
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a(0) = 1, a(n) = (17/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017
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MAPLE
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with(numtheory): a:= proc(n) option remember; `if`(n=0, 1, add(add(d*17, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq(a(n), n=0..40); # Alois P. Heinz, Oct 17 2008
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MATHEMATICA
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CoefficientList[Series[1/QPochhammer[x]^17, {x, 0, 30}], x] (* Indranil Ghosh, Mar 27 2017 *)
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PROG
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(PARI) Vec(1/eta(x)^17 + O(x^30)) \\ Indranil Ghosh, Mar 27 2017
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CROSSREFS
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Cf. 17th column of A144064. - Alois P. Heinz, Oct 17 2008
Sequence in context: A155658 A121037 A282922 * A022645 A326211 A164747
Adjacent sequences: A023012 A023013 A023014 * A023016 A023017 A023018
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson
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STATUS
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approved
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