A384819 - cp's OEIS frontend

A384819 Nonnegative numbers a(n) < n for n >= 1 such that exp( Sum_{n>=1} (n^2 - a(n))*x^n/n ) is a power series with integral coefficients.

n	a(n)
1	0
2	1
3	2
4	1
5	4
6	3
7	6
8	1
9	2
10	7
11	10
12	3
13	12
14	11
15	3
16	1
17	16
18	3
19	18
20	15
21	14
22	19
23	22
24	3
25	4
26	23
27	2
28	27
29	28
30	12
31	30
32	1
33	15
34	31
35	7
36	3
37	36
38	35
39	32
40	7
41	40
42	37
43	42
44	7
45	21
46	43
47	46
48	3
49	6
50	7
51	27
52	11
53	52
54	3
55	34
56	35
57	50
58	55
59	58
60	44
61	60
62	59
63	5
64	1
65	18
66	0
67	66
68	19
69	39
70	40
71	70
72	3
73	72
74	71
75	3
76	23
77	1
78	19
79	78
80	55
81	2
82	79
83	82
84	41
85	47
86	83
87	51
88	47
89	88
90	84
91	74
92	31
93	86
94	91
95	17
96	3
97	96
98	11
99	42
100	15
101	100

[0, 1, 2, 1, 4, 3, 6, 1, 2, 7, 10, 3, 12, 11, 3, 1, 16, 3, 18, 15, 14, 19, 22, 3, 4, 23, 2, 27, 28, 12, 30, 1, 15, 31, 7, 3, 36, 35, 32, 7, 40, 37, 42, 7, 21, 43, 46, 3, 6, 7, 27, 11, 52, 3, 34, 35, 50, 55, 58, 44, 60, 59, 5, 1, 18, 0, 66, 19, 39, 40, 70, 3, 72, 71, 3, 23, 1, 19, 78, 55, 2, 79, 82, 41, 47, 83, 51, 47, 88, 84, 74, 31, 86, 91, 17, 3, 96, 11, 42, 15, 100]

cp's OEIS Frontend

A384819 Nonnegative numbers a(n) < n for n >= 1 such that exp( Sum_{n>=1} (n^2 - a(n))*x^n/n ) is a power series with integral coefficients.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	1
5	4
6	3
7	6
8	1
9	2
10	7
11	10
12	3
13	12
14	11
15	3
16	1
17	16
18	3
19	18
20	15
21	14
22	19
23	22
24	3
25	4
26	23
27	2
28	27
29	28
30	12
31	30
32	1
33	15
34	31
35	7
36	3
37	36
38	35
39	32
40	7
41	40
42	37
43	42
44	7
45	21
46	43
47	46
48	3
49	6
50	7
51	27
52	11
53	52
54	3
55	34
56	35
57	50
58	55
59	58
60	44
61	60
62	59
63	5
64	1
65	18
66	0
67	66
68	19
69	39
70	40
71	70
72	3
73	72
74	71
75	3
76	23
77	1
78	19
79	78
80	55
81	2
82	79
83	82
84	41
85	47
86	83
87	51
88	47
89	88
90	84
91	74
92	31
93	86
94	91
95	17
96	3
97	96
98	11
99	42
100	15
101	100

n	a(n)
1	0
2	1
3	2
4	1
5	4
6	3
7	6
8	1
9	2
10	7
11	10
12	3
13	12
14	11
15	3
16	1
17	16
18	3
19	18
20	15
21	14
22	19
23	22
24	3
25	4
26	23
27	2
28	27
29	28
30	12
31	30
32	1
33	15
34	31
35	7
36	3
37	36
38	35
39	32
40	7
41	40
42	37
43	42
44	7
45	21
46	43
47	46
48	3
49	6
50	7
51	27
52	11
53	52
54	3
55	34
56	35
57	50
58	55
59	58
60	44
61	60
62	59
63	5
64	1
65	18
66	0
67	66
68	19
69	39
70	40
71	70
72	3
73	72
74	71
75	3
76	23
77	1
78	19
79	78
80	55
81	2
82	79
83	82
84	41
85	47
86	83
87	51
88	47
89	88
90	84
91	74
92	31
93	86
94	91
95	17
96	3
97	96
98	11
99	42
100	15
101	100

n	a(n)
1	0
2	1
3	2
4	1
5	4
6	3
7	6
8	1
9	2
10	7
11	10
12	3
13	12
14	11
15	3
16	1
17	16
18	3
19	18
20	15
21	14
22	19
23	22
24	3
25	4
26	23
27	2
28	27
29	28
30	12
31	30
32	1
33	15
34	31
35	7
36	3
37	36
38	35
39	32
40	7
41	40
42	37
43	42
44	7
45	21
46	43
47	46
48	3
49	6
50	7
51	27
52	11
53	52
54	3
55	34
56	35
57	50
58	55
59	58
60	44
61	60
62	59
63	5
64	1
65	18
66	0
67	66
68	19
69	39
70	40
71	70
72	3
73	72
74	71
75	3
76	23
77	1
78	19
79	78
80	55
81	2
82	79
83	82
84	41
85	47
86	83
87	51
88	47
89	88
90	84
91	74
92	31
93	86
94	91
95	17
96	3
97	96
98	11
99	42
100	15
101	100