A082759 - cp's OEIS frontend

A082759 a(n) = Sum_{k = 0..n} binomial(n,k)*trinomial(n,k), where trinomial(n,k) = trinomial coefficients.

n	a(n)
0	1
1	2
2	8
3	35
4	160
5	752
6	3599
7	17446
8	85376
9	420884
10	2087008
11	10398016
12	52010479
13	261021854
14	1313707256
15	6628095035
16	33512880640
17	169768235840
18	861450392708
19	4377796514152
20	22277498220160
21	113502759811000
22	578931209245760
23	2955873376166144
24	15105883318474991

[1, 2, 8, 35, 160, 752, 3599, 17446, 85376, 420884, 2087008, 10398016, 52010479, 261021854, 1313707256, 6628095035, 33512880640, 169768235840, 861450392708, 4377796514152, 22277498220160, 113502759811000, 578931209245760, 2955873376166144, 15105883318474991]

cp's OEIS Frontend

A082759 a(n) = Sum_{k = 0..n} binomial(n,k)*trinomial(n,k), where trinomial(n,k) = trinomial coefficients.

Table of values

List of values