A375376 - cp's OEIS frontend

A375376 Square array read by antidiagonals: Let n = Sum_{i=1..m} 2^e_i be the binary expansion of n, let S be the set {e_i+2; 1 <= i <= m}, and let X be the sequence of power towers built of numbers in S, sorted first by their height and then colexicographically. The n-th row of the array gives the permutation of indices which reorders X by magnitude. In case of ties, keep the colexicographic order.

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

[1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 6, 5, 5, 3, 2, 1, 7, 6, 4, 4, 3, 2, 1, 8, 7, 7, 5, 4, 3, 2, 1, 9, 8, 6, 6, 5, 4, 3, 2, 1, 10, 9, 8, 7, 7, 5, 4, 3, 3, 1, 11, 10, 11, 8, 6, 6, 7, 4, 2, 2, 1, 12, 11, 9, 9, 8, 7, 5, 5, 7, 3, 2, 1, 13, 12, 12, 10, 9, 8, 6, 6, 4, 4, 4, 2, 1]

cp's OEIS Frontend

Table of values

List of values

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

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

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