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Search: id:A023005
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| A023005 |
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Number of partitions of n into parts of 6 kinds. |
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+0 2
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| 1, 6, 27, 98, 315, 918, 2492, 6372, 15525, 36280, 81816, 178794, 380051, 788004, 1597725, 3174210, 6190182, 11867310, 22395359, 41650050, 76413078, 138421358, 247783113, 438616728, 768291650, 1332444330, 2289213495, 3898064226
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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 A010722. [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)^6.
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MAPLE
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with (numtheory): a:=proc(n) option remember; `if`(n=0, 1, add (add (d*6, 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. 6th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A001940 A121591 A071734 this_sequence A001874 A009061 A012320
Adjacent sequences: A023002 A023003 A023004 this_sequence A023006 A023007 A023008
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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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