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Search: id:A023006
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| A023006 |
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Number of partitions of n into parts of 7 kinds. |
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+0
2
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| 1, 7, 35, 140, 490, 1547, 4522, 12405, 32305, 80465, 192899, 447146, 1006145, 2204475, 4715510, 9869132, 20247710, 40786690, 80782800, 157510780, 302666903, 573720808, 1073720305, 1985506775, 3630307835, 6567206471, 11760658378
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OFFSET
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0,2
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COMMENT
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a(n) is Euler transform of A010727. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
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LINKS
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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
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G.f.: Product_{m>=1} 1/(1-x^m)^7.
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MAPLE
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with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*7, 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
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Cf. 7th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A124090 A059595 A001941 this_sequence A001875 A121163 A094825
Adjacent sequences: A023003 A023004 A023005 this_sequence A023007 A023008 A023009
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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