A176157 - cp's OEIS frontend

A176157 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS2(n, n-j)binomial(n, j), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	10
8	10
9	1
10	1
11	25
12	63
13	25
14	1
15	1
16	51
17	296
18	296
19	51
20	1
21	1
22	91
23	1060
24	2395
25	1060
26	91
27	1
28	1
29	148
30	3081
31	14008
32	14008
33	3081
34	148
35	1
36	1
37	225
38	7665
39	62909
40	127883
41	62909
42	7665
43	225
44	1
45	1
46	325
47	16948
48	230032
49	851758
50	851758
51	230032
52	16948
53	325
54	1

[1, 1, 1, 1, 3, 1, 1, 10, 10, 1, 1, 25, 63, 25, 1, 1, 51, 296, 296, 51, 1, 1, 91, 1060, 2395, 1060, 91, 1, 1, 148, 3081, 14008, 14008, 3081, 148, 1, 1, 225, 7665, 62909, 127883, 62909, 7665, 225, 1, 1, 325, 16948, 230032, 851758, 851758, 230032, 16948, 325, 1]

cp's OEIS Frontend

A176157 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS2(n, n-j)binomial(n, j), read by rows.

Table of values

List of values

cp's OEIS Frontend

A176157 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS2(n, n-j)*binomial(n,j) + Sum_{j=0..n-k} StirlingS2(n, n-j)*binomial(n, j), read by rows.

Table of values

List of values

A176157 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS2(n, n-j)binomial(n, j), read by rows.