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Search: id:A119442
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| A119442 |
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Triangle read by rows: row n lists number of unordered partitions of n into k parts which are partition numbers (members of A000041). |
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+0
2
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| 1, 2, 1, 3, 2, 1, 5, 7, 2, 1, 7, 11, 7, 2, 1, 11, 26, 19, 7, 2, 1, 15, 40, 38, 19, 7, 2, 1, 22, 83, 78, 54, 19, 7, 2, 1, 30, 120, 168, 102, 54, 19, 7, 2, 1, 42, 223, 301, 244, 134, 54, 19, 7, 2, 1, 56, 320, 557, 471, 292, 134, 54, 19, 7, 2, 1, 77, 566, 1035, 1000, 623, 356, 134, 54
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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A060642 describes the ordered case.
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FORMULA
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G.f.: 1/Product_{k>0} (1-y*A000041(k)*x^k). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 21 2006
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EXAMPLE
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1; 2,1; 3,2,1; 5,7,2,1; 7,11,7,2,1; 11,26,19,7,2,1; 15,40,38,19,7,2,1; ...
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CROSSREFS
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Cf. A000041, A036036, A048996, A055887, A063834, A008284.
Sequence in context: A134423 A061260 A152097 this_sequence A064861 A070979 A054098
Adjacent sequences: A119439 A119440 A119441 this_sequence A119443 A119444 A119445
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KEYWORD
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nonn,tabl
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), May 19 2006
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EXTENSIONS
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More terms and better definition from Vladeta Jovovic (vladeta(AT)eunet.rs), May 21 2006
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