A117632 - cp's OEIS frontend

A117632 Number of 1's required to build n using {+,T} and parentheses, where T(i) = i*(i+1)/2.

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	2
7	3
8	4
9	4
10	3
11	4
12	4
13	5
14	6
15	4
16	5
17	6
18	6
19	7
20	6
21	2
22	3
23	4
24	4
25	5
26	6
27	4
28	3
29	4
30	5
31	5
32	6
33	6
34	5
35	6
36	4
37	5
38	6
39	6
40	7
41	8
42	4
43	5
44	6
45	4
46	5
47	6
48	6
49	5
50	6
51	6
52	7
53	8
54	8
55	3
56	4
57	5
58	5
59	6
60	7
61	5
62	6
63	6
64	7
65	6
66	4
67	5
68	6
69	6
70	7
71	8
72	6
73	7
74	8
75	8
76	5
77	6
78	4
79	5
80	6
81	6
82	7
83	6
84	6
85	7
86	8
87	6
88	7
89	8
90	8
91	5
92	6
93	7
94	7
95	8
96	9
97	7
98	8
99	6
100	7
101	8
102	8

[1, 2, 2, 3, 4, 2, 3, 4, 4, 3, 4, 4, 5, 6, 4, 5, 6, 6, 7, 6, 2, 3, 4, 4, 5, 6, 4, 3, 4, 5, 5, 6, 6, 5, 6, 4, 5, 6, 6, 7, 8, 4, 5, 6, 4, 5, 6, 6, 5, 6, 6, 7, 8, 8, 3, 4, 5, 5, 6, 7, 5, 6, 6, 7, 6, 4, 5, 6, 6, 7, 8, 6, 7, 8, 8, 5, 6, 4, 5, 6, 6, 7, 6, 6, 7, 8, 6, 7, 8, 8, 5, 6, 7, 7, 8, 9, 7, 8, 6, 7, 8, 8]

cp's OEIS Frontend

A117632 Number of 1's required to build n using {+,T} and parentheses, where T(i) = i*(i+1)/2.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	2
7	3
8	4
9	4
10	3
11	4
12	4
13	5
14	6
15	4
16	5
17	6
18	6
19	7
20	6
21	2
22	3
23	4
24	4
25	5
26	6
27	4
28	3
29	4
30	5
31	5
32	6
33	6
34	5
35	6
36	4
37	5
38	6
39	6
40	7
41	8
42	4
43	5
44	6
45	4
46	5
47	6
48	6
49	5
50	6
51	6
52	7
53	8
54	8
55	3
56	4
57	5
58	5
59	6
60	7
61	5
62	6
63	6
64	7
65	6
66	4
67	5
68	6
69	6
70	7
71	8
72	6
73	7
74	8
75	8
76	5
77	6
78	4
79	5
80	6
81	6
82	7
83	6
84	6
85	7
86	8
87	6
88	7
89	8
90	8
91	5
92	6
93	7
94	7
95	8
96	9
97	7
98	8
99	6
100	7
101	8
102	8

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	2
7	3
8	4
9	4
10	3
11	4
12	4
13	5
14	6
15	4
16	5
17	6
18	6
19	7
20	6
21	2
22	3
23	4
24	4
25	5
26	6
27	4
28	3
29	4
30	5
31	5
32	6
33	6
34	5
35	6
36	4
37	5
38	6
39	6
40	7
41	8
42	4
43	5
44	6
45	4
46	5
47	6
48	6
49	5
50	6
51	6
52	7
53	8
54	8
55	3
56	4
57	5
58	5
59	6
60	7
61	5
62	6
63	6
64	7
65	6
66	4
67	5
68	6
69	6
70	7
71	8
72	6
73	7
74	8
75	8
76	5
77	6
78	4
79	5
80	6
81	6
82	7
83	6
84	6
85	7
86	8
87	6
88	7
89	8
90	8
91	5
92	6
93	7
94	7
95	8
96	9
97	7
98	8
99	6
100	7
101	8
102	8

n	a(n)
1	1
2	2
3	2
4	3
5	4
6	2
7	3
8	4
9	4
10	3
11	4
12	4
13	5
14	6
15	4
16	5
17	6
18	6
19	7
20	6
21	2
22	3
23	4
24	4
25	5
26	6
27	4
28	3
29	4
30	5
31	5
32	6
33	6
34	5
35	6
36	4
37	5
38	6
39	6
40	7
41	8
42	4
43	5
44	6
45	4
46	5
47	6
48	6
49	5
50	6
51	6
52	7
53	8
54	8
55	3
56	4
57	5
58	5
59	6
60	7
61	5
62	6
63	6
64	7
65	6
66	4
67	5
68	6
69	6
70	7
71	8
72	6
73	7
74	8
75	8
76	5
77	6
78	4
79	5
80	6
81	6
82	7
83	6
84	6
85	7
86	8
87	6
88	7
89	8
90	8
91	5
92	6
93	7
94	7
95	8
96	9
97	7
98	8
99	6
100	7
101	8
102	8