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Search: id:A023008
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| A023008 |
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Number of partitions of n into parts of 9 kinds. |
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+0
2
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| 1, 9, 54, 255, 1035, 3753, 12483, 38709, 113265, 315445, 841842, 2164185, 5382276, 12994290, 30543210, 70066809, 157199805, 345552183, 745377215, 1579915080, 3294664578, 6766656315, 13700560491, 27370137195, 53991639855, 105242612526
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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 A010734. [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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MAPLE
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with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*9, 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. 9th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A073974 A035927 A059597 this_sequence A079817 A027472 A022637
Adjacent sequences: A023005 A023006 A023007 this_sequence A023009 A023010 A023011
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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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