A341456 - cp's OEIS frontend

A341456 Let T be the set of sequences {t(k), k >= 0} such that for any k >= 3, t(k) = t(k-1) + t(k-2) + t(k-3); a(n) is the least possible value of t(0) + t(1) + t(2) for an element t of T containing n.

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	2
11	1
12	2
13	1
14	2
15	3
16	3
17	3
18	2
19	3
20	1
21	3
22	2
23	4
24	1
25	3
26	2
27	3
28	4
29	3
30	5
31	3
32	4
33	2
34	4
35	3
36	4
37	1
38	4
39	3
40	2
41	5
42	4
43	5
44	1
45	5
46	3
47	5
48	2
49	5
50	3
51	5
52	4
53	3
54	6
55	5
56	6
57	3
58	6
59	4
60	3
61	2
62	6
63	4
64	3
65	5
66	4
67	7
68	1
69	7
70	4
71	7
72	3
73	4
74	2
75	7
76	5
77	4
78	6
79	5
80	4
81	1
82	8
83	5
84	4
85	3
86	5

[0, 1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 4, 1, 3, 2, 3, 4, 3, 5, 3, 4, 2, 4, 3, 4, 1, 4, 3, 2, 5, 4, 5, 1, 5, 3, 5, 2, 5, 3, 5, 4, 3, 6, 5, 6, 3, 6, 4, 3, 2, 6, 4, 3, 5, 4, 7, 1, 7, 4, 7, 3, 4, 2, 7, 5, 4, 6, 5, 4, 1, 8, 5, 4, 3, 5]

cp's OEIS Frontend

A341456 Let T be the set of sequences {t(k), k >= 0} such that for any k >= 3, t(k) = t(k-1) + t(k-2) + t(k-3); a(n) is the least possible value of t(0) + t(1) + t(2) for an element t of T containing n.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	2
11	1
12	2
13	1
14	2
15	3
16	3
17	3
18	2
19	3
20	1
21	3
22	2
23	4
24	1
25	3
26	2
27	3
28	4
29	3
30	5
31	3
32	4
33	2
34	4
35	3
36	4
37	1
38	4
39	3
40	2
41	5
42	4
43	5
44	1
45	5
46	3
47	5
48	2
49	5
50	3
51	5
52	4
53	3
54	6
55	5
56	6
57	3
58	6
59	4
60	3
61	2
62	6
63	4
64	3
65	5
66	4
67	7
68	1
69	7
70	4
71	7
72	3
73	4
74	2
75	7
76	5
77	4
78	6
79	5
80	4
81	1
82	8
83	5
84	4
85	3
86	5

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	2
11	1
12	2
13	1
14	2
15	3
16	3
17	3
18	2
19	3
20	1
21	3
22	2
23	4
24	1
25	3
26	2
27	3
28	4
29	3
30	5
31	3
32	4
33	2
34	4
35	3
36	4
37	1
38	4
39	3
40	2
41	5
42	4
43	5
44	1
45	5
46	3
47	5
48	2
49	5
50	3
51	5
52	4
53	3
54	6
55	5
56	6
57	3
58	6
59	4
60	3
61	2
62	6
63	4
64	3
65	5
66	4
67	7
68	1
69	7
70	4
71	7
72	3
73	4
74	2
75	7
76	5
77	4
78	6
79	5
80	4
81	1
82	8
83	5
84	4
85	3
86	5

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	2
11	1
12	2
13	1
14	2
15	3
16	3
17	3
18	2
19	3
20	1
21	3
22	2
23	4
24	1
25	3
26	2
27	3
28	4
29	3
30	5
31	3
32	4
33	2
34	4
35	3
36	4
37	1
38	4
39	3
40	2
41	5
42	4
43	5
44	1
45	5
46	3
47	5
48	2
49	5
50	3
51	5
52	4
53	3
54	6
55	5
56	6
57	3
58	6
59	4
60	3
61	2
62	6
63	4
64	3
65	5
66	4
67	7
68	1
69	7
70	4
71	7
72	3
73	4
74	2
75	7
76	5
77	4
78	6
79	5
80	4
81	1
82	8
83	5
84	4
85	3
86	5