A109876 - cp's OEIS frontend

A109876 Triangle read by rows: a(n, n) = n! and for 1 <= k < n, a(n, k) = Sum_{i=0..n-1} Product_{j=i+1..i+k} f(j, n), where for x <= y, f(x, y) = x and for x > y, f(x, y) = x-y.

n	a(n)
1	1
2	3
3	2
4	6
5	11
6	6
7	10
8	24
9	50
10	24
11	15
12	45
13	120
14	274
15	120
16	21
17	76
18	252
19	720
20	1764
21	720
22	28
23	119
24	476
25	1680
26	5040
27	13068
28	5040
29	36
30	176
31	828
32	3520
33	12960
34	40320
35	109584
36	40320
37	45
38	249
39	1350
40	6750
41	29880
42	113400
43	362880
44	1026576
45	362880
46	55
47	340
48	2090
49	12048

[1, 3, 2, 6, 11, 6, 10, 24, 50, 24, 15, 45, 120, 274, 120, 21, 76, 252, 720, 1764, 720, 28, 119, 476, 1680, 5040, 13068, 5040, 36, 176, 828, 3520, 12960, 40320, 109584, 40320, 45, 249, 1350, 6750, 29880, 113400, 362880, 1026576, 362880, 55, 340, 2090, 12048]

cp's OEIS Frontend

A109876 Triangle read by rows: a(n, n) = n! and for 1 <= k < n, a(n, k) = Sum_{i=0..n-1} Product_{j=i+1..i+k} f(j, n), where for x <= y, f(x, y) = x and for x > y, f(x, y) = x-y.

Table of values

List of values