A102735 - cp's OEIS frontend

A102735 Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2k} T(i,k) * C(n-k-2,1).

n	a(n)
1	2
2	1
3	8
4	13
5	10
6	3
7	22
8	74
9	134
10	134
11	70
12	15
13	52
14	314
15	1024
16	1964
17	2296
18	1615
19	630
20	105
21	114
22	1155
23	6084
24	18954
25	37512
26	48677
27	41426
28	22330
29	6930
30	945
31	240
32	3927
33	31494
34	146907
35	438948
36	885653
37	1237958
38	1204525
39	802648
40	349965
41	90090
42	10395
43	494

[2, 1, 8, 13, 10, 3, 22, 74, 134, 134, 70, 15, 52, 314, 1024, 1964, 2296, 1615, 630, 105, 114, 1155, 6084, 18954, 37512, 48677, 41426, 22330, 6930, 945, 240, 3927, 31494, 146907, 438948, 885653, 1237958, 1204525, 802648, 349965, 90090, 10395, 494]

cp's OEIS Frontend

A102735 Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2k} T(i,k) * C(n-k-2,1).

Table of values

List of values

cp's OEIS Frontend

A102735 Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2*k} T(i,k) * C(n-k-2,1).

Table of values

List of values

A102735 Table read by rows giving the coefficients of general sum formulas of n-th sums of Bell numbers (A005001). The k-th row (k>=1) contains T(i,k) for i=1 to 2k and k=1 to n-3, where T(i,k) satisfies Sum_{q=1..n} Bell(q) = 1 + C(n,2) + Sum_{k=1..n-3} Sum_{i=1..2k} T(i,k) * C(n-k-2,1).