A318176 - cp's OEIS frontend

A318176 a(n) is the number of integer partitions of n for which the greatest part minus the least part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.

n	a(n)
1	1
2	1
3	0
4	0
5	1
6	1
7	2
8	3
9	2
10	4
11	8
12	4
13	15
14	12
15	16
16	21
17	29
18	30
19	48
20	40
21	74
22	67
23	105
24	102
25	148
26	154
27	210
28	223
29	285
30	292
31	437
32	428
33	593
34	630
35	842
36	894
37	1168
38	1317
39	1628
40	1759
41	2249
42	2426
43	3112
44	3356
45	4158
46	4637
47	5647
48	6172
49	7657
50	8400
51	10146
52	11401
53	13450
54	15069
55	17948
56	20108
57	23674
58	26867
59	31398
60	35133

[1, 1, 0, 0, 1, 1, 2, 3, 2, 4, 8, 4, 15, 12, 16, 21, 29, 30, 48, 40, 74, 67, 105, 102, 148, 154, 210, 223, 285, 292, 437, 428, 593, 630, 842, 894, 1168, 1317, 1628, 1759, 2249, 2426, 3112, 3356, 4158, 4637, 5647, 6172, 7657, 8400, 10146, 11401, 13450, 15069, 17948, 20108, 23674, 26867, 31398, 35133]

cp's OEIS Frontend

A318176 a(n) is the number of integer partitions of n for which the greatest part minus the least part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.

Table of values

List of values