A323451 - cp's OEIS frontend

A323451 Number of ways to fill a Young diagram with positive integers summing to n such that all rows and columns are strictly increasing.

n	a(n)
0	1
1	1
2	1
3	3
4	3
5	6
6	9
7	12
8	19
9	27
10	39
11	54
12	79
13	107
14	150
15	209
16	282
17	387
18	525
19	707
20	949
21	1272
22	1688
23	2244
24	2968
25	3902
26	5125
27	6712
28	8752
29	11383
30	14780
31	19109
32	24671
33	31768
34	40791
35	52280
36	66860
37	85296
38	108621
39	138054
40	175085
41	221676
42	280161
43	353414
44	445098
45	559661

[1, 1, 1, 3, 3, 6, 9, 12, 19, 27, 39, 54, 79, 107, 150, 209, 282, 387, 525, 707, 949, 1272, 1688, 2244, 2968, 3902, 5125, 6712, 8752, 11383, 14780, 19109, 24671, 31768, 40791, 52280, 66860, 85296, 108621, 138054, 175085, 221676, 280161, 353414, 445098, 559661]

cp's OEIS Frontend

A323451 Number of ways to fill a Young diagram with positive integers summing to n such that all rows and columns are strictly increasing.

Table of values

List of values