A156140 - cp's OEIS frontend

A156140 Accumulation of Stern's diatomic series: a(0)=-1, a(1)=0, and a(n+1) = (2e(n)+1)*a(n) - a(n-1) for n > 1, where e(n) is the highest power of 2 dividing n.

n	a(n)
0	-1
1	0
2	1
3	3
4	2
5	7
6	5
7	8
8	3
9	13
10	10
11	17
12	7
13	18
14	11
15	15
16	4
17	21
18	17
19	30
20	13
21	35
22	22
23	31
24	9
25	32
26	23
27	37
28	14
29	33
30	19
31	24
32	5
33	31
34	26
35	47
36	21
37	58
38	37
39	53
40	16
41	59
42	43
43	70
44	27
45	65
46	38
47	49
48	11
49	50
50	39
51	67
52	28
53	73
54	45
55	62
56	17
57	57
58	40
59	63
60	23
61	52
62	29
63	35
64	6
65	43
66	37
67	68
68	31
69	87
70	56
71	81
72	25
73	94
74	69

[-1, 0, 1, 3, 2, 7, 5, 8, 3, 13, 10, 17, 7, 18, 11, 15, 4, 21, 17, 30, 13, 35, 22, 31, 9, 32, 23, 37, 14, 33, 19, 24, 5, 31, 26, 47, 21, 58, 37, 53, 16, 59, 43, 70, 27, 65, 38, 49, 11, 50, 39, 67, 28, 73, 45, 62, 17, 57, 40, 63, 23, 52, 29, 35, 6, 43, 37, 68, 31, 87, 56, 81, 25, 94, 69]

cp's OEIS Frontend

A156140 Accumulation of Stern's diatomic series: a(0)=-1, a(1)=0, and a(n+1) = (2e(n)+1)*a(n) - a(n-1) for n > 1, where e(n) is the highest power of 2 dividing n.

Table of values

List of values

n	a(n)
0	-1
1	0
2	1
3	3
4	2
5	7
6	5
7	8
8	3
9	13
10	10
11	17
12	7
13	18
14	11
15	15
16	4
17	21
18	17
19	30
20	13
21	35
22	22
23	31
24	9
25	32
26	23
27	37
28	14
29	33
30	19
31	24
32	5
33	31
34	26
35	47
36	21
37	58
38	37
39	53
40	16
41	59
42	43
43	70
44	27
45	65
46	38
47	49
48	11
49	50
50	39
51	67
52	28
53	73
54	45
55	62
56	17
57	57
58	40
59	63
60	23
61	52
62	29
63	35
64	6
65	43
66	37
67	68
68	31
69	87
70	56
71	81
72	25
73	94
74	69

n	a(n)
0	-1
1	0
2	1
3	3
4	2
5	7
6	5
7	8
8	3
9	13
10	10
11	17
12	7
13	18
14	11
15	15
16	4
17	21
18	17
19	30
20	13
21	35
22	22
23	31
24	9
25	32
26	23
27	37
28	14
29	33
30	19
31	24
32	5
33	31
34	26
35	47
36	21
37	58
38	37
39	53
40	16
41	59
42	43
43	70
44	27
45	65
46	38
47	49
48	11
49	50
50	39
51	67
52	28
53	73
54	45
55	62
56	17
57	57
58	40
59	63
60	23
61	52
62	29
63	35
64	6
65	43
66	37
67	68
68	31
69	87
70	56
71	81
72	25
73	94
74	69

n	a(n)
0	-1
1	0
2	1
3	3
4	2
5	7
6	5
7	8
8	3
9	13
10	10
11	17
12	7
13	18
14	11
15	15
16	4
17	21
18	17
19	30
20	13
21	35
22	22
23	31
24	9
25	32
26	23
27	37
28	14
29	33
30	19
31	24
32	5
33	31
34	26
35	47
36	21
37	58
38	37
39	53
40	16
41	59
42	43
43	70
44	27
45	65
46	38
47	49
48	11
49	50
50	39
51	67
52	28
53	73
54	45
55	62
56	17
57	57
58	40
59	63
60	23
61	52
62	29
63	35
64	6
65	43
66	37
67	68
68	31
69	87
70	56
71	81
72	25
73	94
74	69