A386865 - cp's OEIS frontend

A386865 a(n) = Sum_{k=0..n} 2^(n-k) * binomial(2n+2,k) binomial(2*n-k-1,n-k).

n	a(n)
0	1
1	6
2	51
3	496
4	5130
5	54894
6	600103
7	6657312
8	74646702
9	843819580
10	9599776494
11	109776491664
12	1260666279964
13	14528980409454
14	167951183468655
15	1946529575164864
16	22611104963042646
17	263175370423429428
18	3068541416792813338
19	35834296592951011680
20	419059482092284948908

[1, 6, 51, 496, 5130, 54894, 600103, 6657312, 74646702, 843819580, 9599776494, 109776491664, 1260666279964, 14528980409454, 167951183468655, 1946529575164864, 22611104963042646, 263175370423429428, 3068541416792813338, 35834296592951011680, 419059482092284948908]

cp's OEIS Frontend

A386865 a(n) = Sum_{k=0..n} 2^(n-k) * binomial(2n+2,k) binomial(2*n-k-1,n-k).

Table of values

List of values

cp's OEIS Frontend

A386865 a(n) = Sum_{k=0..n} 2^(n-k) * binomial(2*n+2,k) * binomial(2*n-k-1,n-k).

Table of values

List of values

A386865 a(n) = Sum_{k=0..n} 2^(n-k) * binomial(2n+2,k) binomial(2*n-k-1,n-k).