A259478 -id:A259478 - cp's OEIS frontend

A303853 Number of pairs (lambda,mu) of partitions lambda of n and mu of three with mu <= lambda (by diagram containment).

3, 7, 13, 23, 35, 54, 78, 112, 154, 215, 287, 387, 510, 673, 871, 1133, 1448, 1857, 2352, 2980, 3739, 4697, 5846, 7278, 9000, 11122, 13663, 16778, 20492, 25011, 30393, 36892, 44611, 53891, 64871, 78003, 93513, 111970, 133705, 159476, 189737, 225477, 267354

Offset: 3

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 3..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=3 of A259478.

A303854 Number of pairs (lambda,mu) of partitions lambda of n and mu of four with mu <= lambda (by diagram containment).

Original entry on oeis.org

5, 12, 25, 42, 70, 105, 158, 223, 319, 434, 595, 793, 1059, 1382, 1811, 2329, 3003, 3819, 4858, 6114, 7701, 9607, 11984, 14843, 18370, 22594, 27774, 33953, 41473, 50430, 61250, 74102, 89555, 107842, 129715, 155550, 186298, 222508, 265444, 315864, 375415

Offset: 4

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 4..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=4 of A259478.

A303855 Number of pairs (lambda,mu) of partitions lambda of n and mu of five with mu <= lambda (by diagram containment).

Original entry on oeis.org

7, 19, 39, 70, 114, 178, 262, 383, 535, 745, 1010, 1363, 1801, 2379, 3086, 4003, 5124, 6548, 8281, 10467, 13106, 16394, 20362, 25254, 31129, 38330, 46936, 57407, 69897, 84982, 102919, 124483, 150023, 180569, 216669, 259632, 310251, 370270, 440775, 524047

Offset: 5

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 5..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=5 of A259478.

A303856 Number of pairs (lambda,mu) of partitions lambda of n and mu of six with mu <= lambda (by diagram containment).

Original entry on oeis.org

11, 30, 66, 119, 202, 313, 479, 690, 989, 1369, 1885, 2528, 3387, 4443, 5823, 7517, 9682, 12324, 15671, 19721, 24784, 30905, 38470, 47568, 58740, 72109, 88397, 107844, 131358, 159338, 193005, 232904, 280655, 337116, 404346, 483588, 577584, 688038, 818535

Offset: 6

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 6..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=6 of A259478.

A303857 Number of pairs (lambda,mu) of partitions lambda of n and mu of seven with mu <= lambda (by diagram containment).

Original entry on oeis.org

15, 45, 99, 186, 314, 503, 759, 1119, 1590, 2231, 3047, 4135, 5496, 7273, 9478, 12300, 15771, 20169, 25528, 32230, 40370, 50440, 62595, 77528, 95454, 117305, 143453, 175090, 212803, 258201, 312087, 376603, 452975, 543952, 651285, 778642, 928419, 1105423

Offset: 7

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 7..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=7 of A259478.

A303858 Number of pairs (lambda,mu) of partitions lambda of n and mu of eight with mu <= lambda (by diagram containment).

Original entry on oeis.org

22, 67, 155, 292, 511, 816, 1263, 1858, 2687, 3756, 5203, 7030, 9443, 12458, 16349, 21162, 27297, 34806, 44243, 55744, 70025, 87314, 108615, 134246, 165563, 203110, 248625, 302968, 368485, 446354, 539703, 650326, 782241, 938016, 1123009, 1340736, 1598227

Offset: 8

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 8..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=8 of A259478.

A303859 Number of pairs (lambda,mu) of partitions lambda of n and mu of nine with mu <= lambda (by diagram containment).

Original entry on oeis.org

30, 97, 226, 442, 772, 1263, 1952, 2919, 4207, 5960, 8221, 11217, 15019, 19943, 26099, 33968, 43683, 55920, 70929, 89605, 112329, 140375, 174259, 215720, 265591, 326126, 398587, 486047, 590221, 715225, 863619, 1040728, 1250175, 1499092, 1792409, 2139519

Offset: 9

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 9..1000
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=9 of A259478.

A303860 Number of pairs (lambda,mu) of partitions lambda of n and mu of 10 with mu <= lambda (by diagram containment).

Original entry on oeis.org

42, 139, 336, 661, 1185, 1945, 3060, 4578, 6693, 9468, 13203, 17994, 24275, 32194, 42397, 55084, 71167, 90996, 115799, 146108, 183663, 229204, 285107, 352544, 434627, 533118, 652255, 794456, 965403, 1168680, 1411673, 1699448, 2041895, 2445930, 2924587, 3487598

Offset: 10

Alois P. Heinz, May 01 2018

nonn

Alois P. Heinz, Table of n, a(n) for n = 10..785
Eric Weisstein's World of Mathematics, Ferrers Diagram
Wikipedia, Ferrers diagram

Column k=10 of A259478.

cp's OEIS Frontend

A303853 Number of pairs (lambda,mu) of partitions lambda of n and mu of three with mu <= lambda (by diagram containment).

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A303854 Number of pairs (lambda,mu) of partitions lambda of n and mu of four with mu <= lambda (by diagram containment).

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A303855 Number of pairs (lambda,mu) of partitions lambda of n and mu of five with mu <= lambda (by diagram containment).

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A303856 Number of pairs (lambda,mu) of partitions lambda of n and mu of six with mu <= lambda (by diagram containment).

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A303857 Number of pairs (lambda,mu) of partitions lambda of n and mu of seven with mu <= lambda (by diagram containment).

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A303858 Number of pairs (lambda,mu) of partitions lambda of n and mu of eight with mu <= lambda (by diagram containment).

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A303859 Number of pairs (lambda,mu) of partitions lambda of n and mu of nine with mu <= lambda (by diagram containment).

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A303860 Number of pairs (lambda,mu) of partitions lambda of n and mu of 10 with mu <= lambda (by diagram containment).

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Author

Keywords

Links

Crossrefs