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 A023019 Number of partitions of n into parts of 21 kinds. 2
 1, 21, 252, 2233, 16170, 100926, 560945, 2837418, 13266099, 57994475, 239170239, 937026279, 3507380170, 12601619226, 43628951025, 146036139347, 473924014599, 1494785958435, 4591920193357, 13764656869425, 40328218603134 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) is the Euler transform of A010860. - Alois P. Heinz, Oct 17 2008 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 N. J. A. Sloane, Transforms FORMULA a(0) = 1, a(n) = (21/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017 MAPLE with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*21, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); # Alois P. Heinz, Oct 17 2008 MATHEMATICA CoefficientList[Series[1/QPochhammer[x]^21, {x, 0, 30}], x] (* Indranil Ghosh, Mar 27 2017 *) PROG (PARI) Vec(1/eta(x)^21 + O(x^30)) \\ Indranil Ghosh, Mar 27 2017 CROSSREFS Cf. 21st column of A144064. - Alois P. Heinz, Oct 17 2008 Sequence in context: A165099 A165108 A282923 * A036220 A022649 A165094 Adjacent sequences:  A023016 A023017 A023018 * A023020 A023021 A023022 KEYWORD nonn AUTHOR David W. Wilson, Jun 14 1998 STATUS approved

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Last modified July 23 03:00 EDT 2019. Contains 325230 sequences. (Running on oeis4.)