A319053 - cp's OEIS frontend

A319053 a(n) is the exponent of the largest power of 2 that appears in the factorization of the entries in the matrix {{3,1},{1,-1}}^n.

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

[0, 1, 5, 3, 4, 8, 6, 7, 12, 9, 10, 15, 12, 13, 18, 15, 16, 20, 18, 19, 25, 21, 22, 28, 24, 25, 31, 27, 28, 32, 30, 31, 36, 33, 34, 39, 36, 37, 42, 39, 40, 44, 42, 43, 50, 45, 46, 53, 48, 49, 56, 51, 52, 56, 54, 55, 60, 57, 58, 63, 60, 61, 66, 63, 64, 68, 66, 67, 73, 69]

cp's OEIS Frontend

A319053 a(n) is the exponent of the largest power of 2 that appears in the factorization of the entries in the matrix {{3,1},{1,-1}}^n.

Table of values

List of values

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

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

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