A336479 - cp's OEIS frontend

A336479 For any number n with k binary digits, a(n) is the number of tilings T of a size k staircase polyomino (as described in A335547) such that the sizes of the polyominoes at the base of T correspond to the lengths of runs of consecutive equal digits in the binary representation of n.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	2
10	5
11	3
12	2
13	3
14	1
15	1
16	1
17	2
18	8
19	5
20	11
21	18
22	8
23	5
24	3
25	5
26	11
27	7
28	3
29	5
30	1
31	1
32	1
33	2
34	13
35	8
36	26
37	42
38	18
39	11
40	26
41	42
42	94
43	58
44	29
45	47
46	13
47	8
48	5
49	8
50	29
51	18
52	36
53	58
54	26
55	16
56	7
57	11
58	26
59	16
60	5
61	8
62	1
63	1
64	1
65	2
66	21
67	13
68	60
69	97
70	42
71	26
72	87
73	141
74	317

[1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 3, 2, 3, 1, 1, 1, 2, 8, 5, 11, 18, 8, 5, 3, 5, 11, 7, 3, 5, 1, 1, 1, 2, 13, 8, 26, 42, 18, 11, 26, 42, 94, 58, 29, 47, 13, 8, 5, 8, 29, 18, 36, 58, 26, 16, 7, 11, 26, 16, 5, 8, 1, 1, 1, 2, 21, 13, 60, 97, 42, 26, 87, 141, 317]

cp's OEIS Frontend

A336479 For any number n with k binary digits, a(n) is the number of tilings T of a size k staircase polyomino (as described in A335547) such that the sizes of the polyominoes at the base of T correspond to the lengths of runs of consecutive equal digits in the binary representation of n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	2
10	5
11	3
12	2
13	3
14	1
15	1
16	1
17	2
18	8
19	5
20	11
21	18
22	8
23	5
24	3
25	5
26	11
27	7
28	3
29	5
30	1
31	1
32	1
33	2
34	13
35	8
36	26
37	42
38	18
39	11
40	26
41	42
42	94
43	58
44	29
45	47
46	13
47	8
48	5
49	8
50	29
51	18
52	36
53	58
54	26
55	16
56	7
57	11
58	26
59	16
60	5
61	8
62	1
63	1
64	1
65	2
66	21
67	13
68	60
69	97
70	42
71	26
72	87
73	141
74	317

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	2
10	5
11	3
12	2
13	3
14	1
15	1
16	1
17	2
18	8
19	5
20	11
21	18
22	8
23	5
24	3
25	5
26	11
27	7
28	3
29	5
30	1
31	1
32	1
33	2
34	13
35	8
36	26
37	42
38	18
39	11
40	26
41	42
42	94
43	58
44	29
45	47
46	13
47	8
48	5
49	8
50	29
51	18
52	36
53	58
54	26
55	16
56	7
57	11
58	26
59	16
60	5
61	8
62	1
63	1
64	1
65	2
66	21
67	13
68	60
69	97
70	42
71	26
72	87
73	141
74	317

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	1
9	2
10	5
11	3
12	2
13	3
14	1
15	1
16	1
17	2
18	8
19	5
20	11
21	18
22	8
23	5
24	3
25	5
26	11
27	7
28	3
29	5
30	1
31	1
32	1
33	2
34	13
35	8
36	26
37	42
38	18
39	11
40	26
41	42
42	94
43	58
44	29
45	47
46	13
47	8
48	5
49	8
50	29
51	18
52	36
53	58
54	26
55	16
56	7
57	11
58	26
59	16
60	5
61	8
62	1
63	1
64	1
65	2
66	21
67	13
68	60
69	97
70	42
71	26
72	87
73	141
74	317