A100853 - cp's OEIS frontend

A100853 Number of partitions of n in which every part occurs 1, 4, or 5 times. Also number of partitions of n in which every part is congruent to {1, 3, 4, 5, 7} mod 8.

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	4
6	5
7	7
8	9
9	12
10	15
11	19
12	25
13	31
14	38
15	48
16	59
17	72
18	88
19	107
20	130
21	157
22	188
23	225
24	270
25	321
26	380
27	451
28	533
29	627
30	737
31	864
32	1011
33	1181
34	1375
35	1599
36	1858
37	2152
38	2488
39	2875
40	3316
41	3816
42	4387
43	5036
44	5773
45	6610
46	7555
47	8626
48	9840
49	11207
50	12748
51	14489

[1, 1, 1, 2, 3, 4, 5, 7, 9, 12, 15, 19, 25, 31, 38, 48, 59, 72, 88, 107, 130, 157, 188, 225, 270, 321, 380, 451, 533, 627, 737, 864, 1011, 1181, 1375, 1599, 1858, 2152, 2488, 2875, 3316, 3816, 4387, 5036, 5773, 6610, 7555, 8626, 9840, 11207, 12748, 14489]

cp's OEIS Frontend

A100853 Number of partitions of n in which every part occurs 1, 4, or 5 times. Also number of partitions of n in which every part is congruent to {1, 3, 4, 5, 7} mod 8.

Table of values

List of values