A124027 - cp's OEIS frontend

A124027 G. J. Chaitin's numbers of s-expressions of size n are given by the coefficients of polynomials p(k, x) satisfying p(k, x) = Sum[p(j, x)*p(k - j, x), {j, 2, k - 1}]. The coefficients of these polynomials give the triangle shown here.

n	a(n)
1	0
2	0
3	1
4	1
5	0
6	1
7	1
8	0
9	1
10	0
11	3
12	0
13	1
14	2
15	0
16	6
17	0
18	1
19	0
20	10
21	0
22	10
23	0
24	1
25	5
26	0
27	30
28	0
29	15
30	0
31	1
32	0
33	35
34	0
35	70
36	0
37	21
38	0
39	1
40	14
41	0
42	140
43	0
44	140
45	0
46	28
47	0
48	1
49	0
50	126
51	0
52	420
53	0
54	252
55	0
56	36
57	0
58	1
59	42
60	0
61	630
62	0
63	1050
64	0
65	420
66	0
67	45
68	0
69	1
70	0
71	462
72	0
73	2310
74	0
75	2310
76	0
77	660
78	0
79	55
80	0
81	1
82	132
83	0

[0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 2, 0, 6, 0, 1, 0, 10, 0, 10, 0, 1, 5, 0, 30, 0, 15, 0, 1, 0, 35, 0, 70, 0, 21, 0, 1, 14, 0, 140, 0, 140, 0, 28, 0, 1, 0, 126, 0, 420, 0, 252, 0, 36, 0, 1, 42, 0, 630, 0, 1050, 0, 420, 0, 45, 0, 1, 0, 462, 0, 2310, 0, 2310, 0, 660, 0, 55, 0, 1, 132, 0]

cp's OEIS Frontend

A124027 G. J. Chaitin's numbers of s-expressions of size n are given by the coefficients of polynomials p(k, x) satisfying p(k, x) = Sum[p(j, x)*p(k - j, x), {j, 2, k - 1}]. The coefficients of these polynomials give the triangle shown here.

Table of values

List of values