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 A161564 Convolution triangle for A000293 (solid partitions): A000041 * A002836 2
 1, 0, 1, 2, 0, 2, 5, 2, 0, 3, 12, 5, 4, 0, 5, 24, 12, 10, 6, 0, 7, 56, 24, 24, 15, 10, 0, 11, 113, 56, 48, 36, 25, 14, 0, 15, 248, 113, 112, 72, 60, 35, 22, 0, 22, 503, 248, 226, 168, 120, 84, 55, 30, 0, 30 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums = A000293, solid partitions: (1, 1, 4, 10, 26, 59, 140, 307, 684,...) LINKS FORMULA Triangle read by rows, A000041 convolved with A002836: (1, 0, 2, 5, 12, 24, 56,...). Antidiagonals of a convolution array, A002836 * A000041: 1, . 1, . 2, . 3, . 5, . 7, . 11,... 0, . 0, . 0, . 0, . 0, . 0, .. 0,... 2, . 2, . 4, . 6, .10, .14, ..22,... 5, . 5, . 10, .15, .25, .35, ..55,... 12 .12, . 24, .36, .60, .84, .132,... ... EXAMPLE First few rows of the triangle = 1; 0, 1; 2, 0, 2; 5, 2, 0, 3; 12, 5, 4, 0, 5; 24, 12, 10, 6, 0, 7; 56, 24, 24, 15, 10, 0, 11; 113, 56, 48, 36, 25, 14, 0, 15; 248, 113, 112, 72, 60, 35, 22, 0, 22; 503, 248, 226, 168, 120, 84, 55, 30, 0, 30; ... Example: row 4 = (12, 5, 4, 0, 5), sum = 26 = A000293(4). CROSSREFS Cf. A000293, A000041, A002836 Sequence in context: A158855 A344908 A005074 * A078182 A133394 A305628 Adjacent sequences:  A161561 A161562 A161563 * A161565 A161566 A161567 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jun 13 2009 STATUS approved

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Last modified July 26 17:37 EDT 2021. Contains 346294 sequences. (Running on oeis4.)