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Search: id:A098489
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| A098489 |
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Triangle T(n,k) read by rows: partitions of n with parts occurring at most thrice, k parts occurring once or twice and an even number of parts. |
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+0
4
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| 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 3, 0, 0, 2, 3, 1, 0, 2, 4, 2, 1, 2, 4, 4, 0, 4, 7, 3, 1, 0, 3, 8, 7, 1, 1, 3, 9, 10, 2, 0, 4, 12, 12, 4, 0, 5, 14, 15, 7, 2, 5, 13, 21, 11, 0, 0, 6, 19, 26, 14, 1, 0, 7, 22, 32, 20, 2, 2, 6, 24, 42, 26, 4, 0, 8, 30, 49, 35, 7, 0, 8, 36, 60
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OFFSET
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0,14
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REFERENCES
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A. Fink, R. K. Guy and M. Krusemeyer, Partitions with parts occurring at most thrice, in preparation.
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EXAMPLE
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{1} {0,0} {0,1} {0,0,1} {0,1,1} {0,1,2} {0,2,3,0}...
6 is 1+1+1+3, 1+1+2+2, 1+5, 2+4, 3+3 with even number of parts and no part more than thrice. Two of these partitions have one part occurring once or twice and (the middle) three have two such parts. The 6th row is therefore 0,2,3,0.
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CROSSREFS
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Differs from A098490 in rows with triangular index. Cf. A098493.
Row sums are in A098491.
Sequence in context: A046277 A053571 A129883 this_sequence A128064 A144217 A132814
Adjacent sequences: A098486 A098487 A098488 this_sequence A098490 A098491 A098492
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KEYWORD
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nonn,tabf
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 12 2004
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