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 A303940 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-x^(j*(j+k)))/(1-x^j). in powers of x. 2
 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 1, 1, 2, 3, 4, 5, 5, 3, 1, 1, 2, 3, 5, 6, 8, 7, 5, 1, 1, 2, 3, 5, 6, 9, 10, 10, 5, 1, 1, 2, 3, 5, 7, 10, 12, 14, 13, 8, 1, 1, 2, 3, 5, 7, 10, 13, 17, 18, 17, 9, 1, 1, 2, 3, 5, 7, 11, 14, 19, 23, 25, 22, 13 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 COMMENTS A(n,k) is the number of partitions of n into at most 0+k copies of 1, 1+k copies of 2, 2+k copies of 3, ... . LINKS Seiichi Manyama, Antidiagonals n = 0..139, flattened EXAMPLE Square array begins:    1, 1, 1, 1,  1,  1,  1,  1, ...    0, 1, 1, 1,  1,  1,  1,  1, ...    1, 1, 2, 2,  2,  2,  2,  2, ...    1, 2, 2, 3,  3,  3,  3,  3, ...    1, 3, 4, 4,  5,  5,  5,  5, ...    2, 4, 5, 6,  6,  7,  7,  7, ...    3, 5, 8, 9, 10, 10, 11, 11, ... CROSSREFS Columns k=0..2 give A087153, A052335, A303939. Main diagonal gives A000041. Sequence in context: A261627 A237112 A238013 * A280134 A143488 A201159 Adjacent sequences:  A303937 A303938 A303939 * A303941 A303942 A303943 KEYWORD nonn,tabl AUTHOR Seiichi Manyama, May 03 2018 STATUS approved

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Last modified July 31 12:29 EDT 2021. Contains 346373 sequences. (Running on oeis4.)