A176156 - cp's OEIS frontend

A176156 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^jStirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} (-1)^jStirlingS2(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	67
13	25
14	1
15	1
16	51
17	281
18	281
19	51
20	1
21	1
22	91
23	646
24	1036
25	646
26	91
27	1
28	1
29	148
30	-1217
31	-12536
32	-12536
33	-1217
34	148
35	1
36	1
37	225
38	-31079
39	-287223
40	-548785
41	-287223
42	-31079
43	225
44	1
45	1
46	325
47	-342899
48	-3906899
49	-11000741
50	-11000741
51	-3906899
52	-342899
53	325
54	1

[1, 1, 1, 1, 3, 1, 1, 10, 10, 1, 1, 25, 67, 25, 1, 1, 51, 281, 281, 51, 1, 1, 91, 646, 1036, 646, 91, 1, 1, 148, -1217, -12536, -12536, -1217, 148, 1, 1, 225, -31079, -287223, -548785, -287223, -31079, 225, 1, 1, 325, -342899, -3906899, -11000741, -11000741, -3906899, -342899, 325, 1]

cp's OEIS Frontend

A176156 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^jStirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} (-1)^jStirlingS2(n, n-j)binomial(n, j), read by rows.

Table of values

List of values

cp's OEIS Frontend

A176156 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^j*StirlingS2(n, n-j)*binomial(n,j) + Sum_{j=0..n-k} (-1)^j*StirlingS2(n, n-j)*binomial(n, j), read by rows.

Table of values

List of values

A176156 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} (-1)^jStirlingS2(n, n-j)binomial(n,j) + Sum_{j=0..n-k} (-1)^jStirlingS2(n, n-j)binomial(n, j), read by rows.