A333153 - cp's OEIS frontend

A333153 G.f.: Sum_{k>=1} (k * x^(k*(k+1)) / Product_{j=1..k} (1 - x^j)).

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	1
6	3
7	3
8	5
9	5
10	7
11	7
12	12
13	12
14	17
15	20
16	25
17	28
18	36
19	39
20	51
21	57
22	69
23	79
24	98
25	108
26	131
27	148
28	175
29	196
30	235
31	260
32	307
33	344
34	400
35	450
36	522
37	581
38	671
39	751
40	859
41	957
42	1097
43	1218
44	1385
45	1543
46	1744
47	1940
48	2193
49	2428
50	2735
51	3033
52	3400
53	3763
54	4215
55	4654

[0, 0, 1, 1, 1, 1, 3, 3, 5, 5, 7, 7, 12, 12, 17, 20, 25, 28, 36, 39, 51, 57, 69, 79, 98, 108, 131, 148, 175, 196, 235, 260, 307, 344, 400, 450, 522, 581, 671, 751, 859, 957, 1097, 1218, 1385, 1543, 1744, 1940, 2193, 2428, 2735, 3033, 3400, 3763, 4215, 4654]

cp's OEIS Frontend

A333153 G.f.: Sum_{k>=1} (k * x^(k*(k+1)) / Product_{j=1..k} (1 - x^j)).

Table of values

List of values