A137604 - cp's OEIS frontend

A137604 Consider the sequence: b(0) = n, and for k >= 1, b(k) = b(k-1)/2 if b(k-1) is even, otherwise b(k) = n - (b(k-1)+1)/2. Then a(n) = (Sum_{0<=k<=m} b(k)) - 1 for n > 1, where m is the smallest index such that b(m) = 1; a(1) = 1.

n	a(n)
1	1
2	2
3	3
4	6
5	7
6	15
7	21
8	14
9	15
10	45
11	30
12	66
13	63
14	61
15	105
16	30
17	31
18	102
19	171
20	114
21	93
22	63
23	134
24	276
25	258
26	88
27	351
28	270
29	105
30	435
31	465
32	62
33	63
34	561
35	374
36	630
37	126
38	374
39	570
40	780
41	547
42	861
43	126
44	602
45	204
46	246
47	196
48	846
49	537
50	361
51	1275
52	1326
53	264
54	1431
55	483
56	990
57	315

[1, 2, 3, 6, 7, 15, 21, 14, 15, 45, 30, 66, 63, 61, 105, 30, 31, 102, 171, 114, 93, 63, 134, 276, 258, 88, 351, 270, 105, 435, 465, 62, 63, 561, 374, 630, 126, 374, 570, 780, 547, 861, 126, 602, 204, 246, 196, 846, 537, 361, 1275, 1326, 264, 1431, 483, 990, 315]

cp's OEIS Frontend

A137604 Consider the sequence: b(0) = n, and for k >= 1, b(k) = b(k-1)/2 if b(k-1) is even, otherwise b(k) = n - (b(k-1)+1)/2. Then a(n) = (Sum_{0<=k<=m} b(k)) - 1 for n > 1, where m is the smallest index such that b(m) = 1; a(1) = 1.

Table of values

List of values