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 A098490 Triangle T(n,k) read by rows: partitions of n with parts occurring at most thrice, k parts occurring once or twice and an odd number of parts. 3
 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 3, 1, 0, 2, 4, 2, 1, 2, 4, 4, 0, 1, 7, 6, 0, 0, 3, 8, 7, 1, 1, 3, 9, 10, 2, 0, 4, 12, 12, 4, 0, 5, 14, 15, 7, 1, 3, 18, 23, 7, 1, 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, 44 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,14 LINKS Table of n, a(n) for n=0..89. Alex Fink, Richard K. Guy, and Mark Krusemeyer, Partitions with parts occurring at most thrice, Contributions to Discrete Mathematics, Vol 3, No 2 (2008), pp. 76-114. EXAMPLE Triangle starts: {1} {0,1} {0,1} {1,1,0} {0,1,1} {0,1,2} {1,1,1,1} ... 6 is 2+2+2, 6, 1+1+4, 1+2+3, with odd number of parts and no part more than thrice. The number of parts occurring once or twice in these partitions is 0,1,2,3, respectively. The 6th row is therefore 1,1,1,1. CROSSREFS Differs from A098489 in rows with triangular index. Cf. A094893. Row sums are in A098492. Sequence in context: A342788 A059883 A086967 * A247138 A212627 A029419 Adjacent sequences: A098487 A098488 A098489 * A098491 A098492 A098493 KEYWORD nonn,tabf AUTHOR Ralf Stephan, Sep 12 2004 STATUS approved

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Last modified April 21 04:42 EDT 2024. Contains 371850 sequences. (Running on oeis4.)