A102639 - cp's OEIS frontend

A102639 Combinatorial triangle !n. This table read by rows gives the coefficients of general sum formulas of n-th left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-2, where T(i,k) satisfies !n = n + Sum_{k=1..n-2} Sum_{i=1..2k} T(i,k) * C(n-k-1,i).

n	a(n)
1	1
2	1
3	3
4	8
5	8
6	3
7	9
8	46
9	101
10	114
11	65
12	15
13	33
14	272
15	975
16	1935
17	2289
18	1615
19	630
20	105
21	153
22	1796
23	9175
24	26795
25	49474
26	60080
27	48104
28	24535
29	7245
30	945
31	873
32	13424
33	90255
34	353507
35	902164
36	1582455
37	1953272
38	1700860
39	1025927
40	408870
41	97020
42	10395
43	5913

[1, 1, 3, 8, 8, 3, 9, 46, 101, 114, 65, 15, 33, 272, 975, 1935, 2289, 1615, 630, 105, 153, 1796, 9175, 26795, 49474, 60080, 48104, 24535, 7245, 945, 873, 13424, 90255, 353507, 902164, 1582455, 1953272, 1700860, 1025927, 408870, 97020, 10395, 5913]

cp's OEIS Frontend

A102639 Combinatorial triangle !n. This table read by rows gives the coefficients of general sum formulas of n-th left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-2, where T(i,k) satisfies !n = n + Sum_{k=1..n-2} Sum_{i=1..2k} T(i,k) * C(n-k-1,i).

Table of values

List of values

cp's OEIS Frontend

A102639 Combinatorial triangle !n. This table read by rows gives the coefficients of general sum formulas of n-th left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-2, where T(i,k) satisfies !n = n + Sum_{k=1..n-2} Sum_{i=1..2*k} T(i,k) * C(n-k-1,i).

Table of values

List of values

A102639 Combinatorial triangle !n. This table read by rows gives the coefficients of general sum formulas of n-th left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-2, where T(i,k) satisfies !n = n + Sum_{k=1..n-2} Sum_{i=1..2k} T(i,k) * C(n-k-1,i).