A176155 - cp's OEIS frontend

A176155 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)binomial(n, j), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	-1
5	1
6	1
7	-8
8	-8
9	1
10	1
11	-23
12	67
13	-23
14	1
15	1
16	-49
17	181
18	181
19	-49
20	1
21	1
22	-89
23	1906
24	-6704
25	1906
26	-89
27	1
28	1
29	-146
30	-1511
31	9808
32	9808
33	-1511
34	-146
35	1
36	1
37	-223
38	49113
39	-426551
40	782671
41	-426551
42	49113
43	-223
44	1
45	1
46	-323
47	-343547
48	3220453
49	-3873389
50	-3873389
51	3220453
52	-343547
53	-323
54	1

[1, 1, 1, 1, -1, 1, 1, -8, -8, 1, 1, -23, 67, -23, 1, 1, -49, 181, 181, -49, 1, 1, -89, 1906, -6704, 1906, -89, 1, 1, -146, -1511, 9808, 9808, -1511, -146, 1, 1, -223, 49113, -426551, 782671, -426551, 49113, -223, 1, 1, -323, -343547, 3220453, -3873389, -3873389, 3220453, -343547, -323, 1]

cp's OEIS Frontend

A176155 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)binomial(n, j), read by rows.

Table of values

List of values

cp's OEIS Frontend

A176155 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)*binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)*binomial(n, j), read by rows.

Table of values

List of values

A176155 Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)binomial(n, j), read by rows.