A163842 - cp's OEIS frontend

A163842 Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial transform. Same as interpolating the beta numbers 1/beta(n,n) (A002457) with (A163869). Triangle read by rows, for n >= 0, k >= 0.

n	a(n)
0	1
1	7
2	6
3	43
4	36
5	30
6	249
7	206
8	170
9	140
10	1395
11	1146
12	940
13	770
14	630
15	7653
16	6258
17	5112
18	4172
19	3402
20	2772
21	41381
22	33728
23	27470
24	22358
25	18186
26	14784
27	12012
28	221399
29	180018
30	146290
31	118820
32	96462
33	78276
34	63492
35	51480

[1, 7, 6, 43, 36, 30, 249, 206, 170, 140, 1395, 1146, 940, 770, 630, 7653, 6258, 5112, 4172, 3402, 2772, 41381, 33728, 27470, 22358, 18186, 14784, 12012, 221399, 180018, 146290, 118820, 96462, 78276, 63492, 51480]

cp's OEIS Frontend

A163842 Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial transform. Same as interpolating the beta numbers 1/beta(n,n) (A002457) with (A163869). Triangle read by rows, for n >= 0, k >= 0.

Table of values

List of values