A378992 - cp's OEIS frontend

A378992 a(n) = A011371(n) - A048881(n); The exponent of the highest power of 2 dividing the n-th factorial minus the exponent of the highest power of 2 dividing n-th Catalan number.

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

[0, 0, 0, 1, 2, 2, 2, 4, 6, 6, 6, 7, 8, 8, 8, 11, 14, 14, 14, 15, 16, 16, 16, 18, 20, 20, 20, 21, 22, 22, 22, 26, 30, 30, 30, 31, 32, 32, 32, 34, 36, 36, 36, 37, 38, 38, 38, 41, 44, 44, 44, 45, 46, 46, 46, 48, 50, 50, 50, 51, 52, 52, 52, 57, 62, 62, 62, 63, 64, 64, 64, 66, 68, 68, 68, 69, 70, 70, 70, 73, 76, 76, 76]

cp's OEIS Frontend

A378992 a(n) = A011371(n) - A048881(n); The exponent of the highest power of 2 dividing the n-th factorial minus the exponent of the highest power of 2 dividing n-th Catalan number.

Table of values

List of values

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

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

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