A331165 - cp's OEIS frontend

A331165 a(n) = a(n-1) + p(n) if p(n) > a(n-1), otherwise a(n) = a(n-1) - p(n), where p is the partition function A000041 (assuming a(n) = 0 for n < 0).

n	a(n)
0	1
1	0
2	2
3	5
4	0
5	7
6	18
7	3
8	25
9	55
10	13
11	69
12	146
13	45
14	180
15	4
16	235
17	532
18	147
19	637
20	10
21	802
22	1804
23	549
24	2124
25	166
26	2602
27	5612
28	1894
29	6459
30	855
31	7697
32	16046
33	5903
34	18213
35	3330
36	21307
37	42944
38	16929
39	48114
40	10776
41	55359
42	2185
43	65446
44	140621
45	51487
46	157045
47	32291
48	179564

[1, 0, 2, 5, 0, 7, 18, 3, 25, 55, 13, 69, 146, 45, 180, 4, 235, 532, 147, 637, 10, 802, 1804, 549, 2124, 166, 2602, 5612, 1894, 6459, 855, 7697, 16046, 5903, 18213, 3330, 21307, 42944, 16929, 48114, 10776, 55359, 2185, 65446, 140621, 51487, 157045, 32291, 179564]

cp's OEIS Frontend

A331165 a(n) = a(n-1) + p(n) if p(n) > a(n-1), otherwise a(n) = a(n-1) - p(n), where p is the partition function A000041 (assuming a(n) = 0 for n < 0).

Table of values

List of values