A270724 - cp's OEIS frontend

A270724 a(n) = ((n+2)/2)Sum_{k=0..n/2} (Sum_{i=0..n-2k} (binomial(k+1,n-2k-i)binomial(k+i,k))/(k+1)*C(k)), where C(k) is Catalan numbers.

n	a(n)
0	1
1	3
2	5
3	10
4	20
5	42
6	93
7	213
8	504
9	1221
10	3014
11	7553
12	19158
13	49087
14	126845
15	330174
16	864884
17	2278138
18	6030218
19	16031950
20	42790362
21	114616360
22	307996874
23	830084080
24	2243193198
25	6076953906
26	16500486744
27	44897830740
28	122406923038
29	334333367602

[1, 3, 5, 10, 20, 42, 93, 213, 504, 1221, 3014, 7553, 19158, 49087, 126845, 330174, 864884, 2278138, 6030218, 16031950, 42790362, 114616360, 307996874, 830084080, 2243193198, 6076953906, 16500486744, 44897830740, 122406923038, 334333367602]

cp's OEIS Frontend

A270724 a(n) = ((n+2)/2)Sum_{k=0..n/2} (Sum_{i=0..n-2k} (binomial(k+1,n-2k-i)binomial(k+i,k))/(k+1)*C(k)), where C(k) is Catalan numbers.

Table of values

List of values

cp's OEIS Frontend

A270724 a(n) = ((n+2)/2)*Sum_{k=0..n/2} (Sum_{i=0..n-2*k} (binomial(k+1,n-2*k-i)*binomial(k+i,k))/(k+1)*C(k)), where C(k) is Catalan numbers.

Table of values

List of values

A270724 a(n) = ((n+2)/2)Sum_{k=0..n/2} (Sum_{i=0..n-2k} (binomial(k+1,n-2k-i)binomial(k+i,k))/(k+1)*C(k)), where C(k) is Catalan numbers.