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A023021
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Number of partitions of n into parts of 23 kinds.
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4
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1, 23, 299, 2852, 22126, 147407, 871838, 4680845, 23177583, 107100903, 466066181, 1923780950, 7576060505, 28601630657, 103928814438, 364712523658, 1239637963457, 4091266414235, 13139808783725, 41145568478988
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) is Euler transform of A010862. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Convolved with A000041 = A006922 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 09 2009]
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LINKS
| Index entries for expansions of Product_{k >= 1} (1-x^k)^m
N. J. A. Sloane, Transforms [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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FORMULA
| G.f.: Product_{m>=1} 1/(1-x^m)^23.
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MAPLE
| with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*23, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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CROSSREFS
| Cf. 23th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
A006922, A000041 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 09 2009]
Sequence in context: A125435 A086943 A131273 * A022651 A077504 A086558
Adjacent sequences: A023018 A023019 A023020 * A023022 A023023 A023024
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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