A177947 - cp's OEIS frontend

A177947 A symmetrical triangle sequence based on the beta function inverse and the spotlight tile A051601 as antidiagonal: t(n,m) = 1/Integrate[(-1 + t)^n/t^(m + n + 2), {t, 1, Infinity}] - (-2 Binomial[m + n, m] + Binomial[2 + m + n, 1 + m]).

n	a(n)
0	1
1	1
2	1
3	1
4	4
5	1
6	1
7	8
8	8
9	1
10	1
11	13
12	22
13	13
14	1
15	1
16	19
17	45
18	45
19	19
20	1
21	1
22	26
23	79
24	110
25	79
26	26
27	1
28	1
29	34
30	126
31	224
32	224
33	126
34	34
35	1
36	1
37	43
38	188
39	406
40	518
41	406
42	188
43	43
44	1
45	1
46	53
47	267
48	678
49	1050
50	1050
51	678
52	267
53	53
54	1

[1, 1, 1, 1, 4, 1, 1, 8, 8, 1, 1, 13, 22, 13, 1, 1, 19, 45, 45, 19, 1, 1, 26, 79, 110, 79, 26, 1, 1, 34, 126, 224, 224, 126, 34, 1, 1, 43, 188, 406, 518, 406, 188, 43, 1, 1, 53, 267, 678, 1050, 1050, 678, 267, 53, 1]

cp's OEIS Frontend

A177947 A symmetrical triangle sequence based on the beta function inverse and the spotlight tile A051601 as antidiagonal: t(n,m) = 1/Integrate[(-1 + t)^n/t^(m + n + 2), {t, 1, Infinity}] - (-2 Binomial[m + n, m] + Binomial[2 + m + n, 1 + m]).

Table of values

List of values