A202318 - cp's OEIS frontend

A202318 Let (n)_p denote the exponent of prime p in the prime power factorization of n. Then a(n) is defined by the formulas a(1)=1; for n >= 2, (a(n))_2 = (n)_2, (a(n))_3 = (n)_3 and, for p >= 5, (a(n))_p = 1 + ((2n)/(p-1))_p if p-1|2*n, and (a(n))_p = 0 otherwise.

n	a(n)
1	1
2	10
3	21
4	20
5	11
6	2730
7	1
8	680
9	1197
10	550
11	23
12	5460
13	1
14	290
15	7161
16	1360
17	1
18	5757570
19	1
20	45100
21	6321
22	230
23	47
24	185640
25	11
26	530
27	3591
28	580
29	59
30	283933650
31	1
32	2720
33	32361
34	10
35	781
36	840605220
37	1
38	10
39	1659
40	1533400
41	83
42	23830170
43	1
44	40940
45	408177
46	470
47	1
48	36014160
49	1
50	277750
51	2163
52	1060
53	107
54	1882725390

[1, 10, 21, 20, 11, 2730, 1, 680, 1197, 550, 23, 5460, 1, 290, 7161, 1360, 1, 5757570, 1, 45100, 6321, 230, 47, 185640, 11, 530, 3591, 580, 59, 283933650, 1, 2720, 32361, 10, 781, 840605220, 1, 10, 1659, 1533400, 83, 23830170, 1, 40940, 408177, 470, 1, 36014160, 1, 277750, 2163, 1060, 107, 1882725390]

cp's OEIS Frontend

A202318 Let (n)_p denote the exponent of prime p in the prime power factorization of n. Then a(n) is defined by the formulas a(1)=1; for n >= 2, (a(n))_2 = (n)_2, (a(n))_3 = (n)_3 and, for p >= 5, (a(n))_p = 1 + ((2n)/(p-1))_p if p-1|2*n, and (a(n))_p = 0 otherwise.

Table of values

List of values