A355809 - cp's OEIS frontend

A355809 a(n) is the number at the apex of a triangle whose base contains the distinct powers of 2 summing to n (in ascending order), and each number in a higher row is the sum of the two numbers directly below it; a(0) = 0.

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	9
8	8
9	9
10	10
11	13
12	12
13	17
14	18
15	27
16	16
17	17
18	18
19	21
20	20
21	25
22	26
23	35
24	24
25	33
26	34
27	47
28	36
29	53
30	54
31	81
32	32
33	33
34	34
35	37
36	36
37	41
38	42
39	51
40	40
41	49
42	50
43	63
44	52
45	69
46	70
47	97
48	48
49	65
50	66
51	87
52	68
53	93
54	94
55	129
56	72
57	105
58	106
59	153
60	108
61	161
62	162
63	243
64	64
65	65

[0, 1, 2, 3, 4, 5, 6, 9, 8, 9, 10, 13, 12, 17, 18, 27, 16, 17, 18, 21, 20, 25, 26, 35, 24, 33, 34, 47, 36, 53, 54, 81, 32, 33, 34, 37, 36, 41, 42, 51, 40, 49, 50, 63, 52, 69, 70, 97, 48, 65, 66, 87, 68, 93, 94, 129, 72, 105, 106, 153, 108, 161, 162, 243, 64, 65]

cp's OEIS Frontend

A355809 a(n) is the number at the apex of a triangle whose base contains the distinct powers of 2 summing to n (in ascending order), and each number in a higher row is the sum of the two numbers directly below it; a(0) = 0.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	9
8	8
9	9
10	10
11	13
12	12
13	17
14	18
15	27
16	16
17	17
18	18
19	21
20	20
21	25
22	26
23	35
24	24
25	33
26	34
27	47
28	36
29	53
30	54
31	81
32	32
33	33
34	34
35	37
36	36
37	41
38	42
39	51
40	40
41	49
42	50
43	63
44	52
45	69
46	70
47	97
48	48
49	65
50	66
51	87
52	68
53	93
54	94
55	129
56	72
57	105
58	106
59	153
60	108
61	161
62	162
63	243
64	64
65	65

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	9
8	8
9	9
10	10
11	13
12	12
13	17
14	18
15	27
16	16
17	17
18	18
19	21
20	20
21	25
22	26
23	35
24	24
25	33
26	34
27	47
28	36
29	53
30	54
31	81
32	32
33	33
34	34
35	37
36	36
37	41
38	42
39	51
40	40
41	49
42	50
43	63
44	52
45	69
46	70
47	97
48	48
49	65
50	66
51	87
52	68
53	93
54	94
55	129
56	72
57	105
58	106
59	153
60	108
61	161
62	162
63	243
64	64
65	65

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	9
8	8
9	9
10	10
11	13
12	12
13	17
14	18
15	27
16	16
17	17
18	18
19	21
20	20
21	25
22	26
23	35
24	24
25	33
26	34
27	47
28	36
29	53
30	54
31	81
32	32
33	33
34	34
35	37
36	36
37	41
38	42
39	51
40	40
41	49
42	50
43	63
44	52
45	69
46	70
47	97
48	48
49	65
50	66
51	87
52	68
53	93
54	94
55	129
56	72
57	105
58	106
59	153
60	108
61	161
62	162
63	243
64	64
65	65