A357316 - cp's OEIS frontend

A357316 A distension of the Wythoff array by inclusion of intermediate rows. Square array A(n,k), n >= 0, k >= 0, read by descending antidiagonals. If S is the set such that Sum_{i in S} F_i is the Zeckendorf representation of n then A(n,k) = Sum_{i in S} F_{i+k-2}.

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

[0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 3, 3, 3, 3, 2, 0, 5, 5, 5, 4, 3, 2, 0, 8, 8, 8, 7, 5, 4, 3, 0, 13, 13, 13, 11, 8, 6, 4, 3, 0, 21, 21, 21, 18, 13, 10, 7, 5, 3, 0, 34, 34, 34, 29, 21, 16, 11, 8, 6, 4, 0, 55, 55, 55, 47, 34, 26, 18, 13, 9, 6, 4]

cp's OEIS Frontend

A357316 A distension of the Wythoff array by inclusion of intermediate rows. Square array A(n,k), n >= 0, k >= 0, read by descending antidiagonals. If S is the set such that Sum_{i in S} F_i is the Zeckendorf representation of n then A(n,k) = Sum_{i in S} F_{i+k-2}.

Table of values

List of values

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

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

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