A344500 - cp's OEIS frontend

A344500 a(n) = Sum_{k=0..n} binomial(n, k)CT(n, k) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)*CT(n, k), where CT(n, k) is the Catalan triangle A053121.

n	a(n)
0	1
1	1
2	2
3	7
4	21
5	66
6	216
7	715
8	2395
9	8101
10	27598
11	94568
12	325612
13	1125632
14	3904512
15	13583195
16	47373255
17	165585883
18	579907758
19	2034443127
20	7148313381
21	25151582046
22	88607951512
23	312518438532
24	1103393962996
25	3899415207676
26	13792683831176
27	48825746365672
28	172971084083752

[1, 1, 2, 7, 21, 66, 216, 715, 2395, 8101, 27598, 94568, 325612, 1125632, 3904512, 13583195, 47373255, 165585883, 579907758, 2034443127, 7148313381, 25151582046, 88607951512, 312518438532, 1103393962996, 3899415207676, 13792683831176, 48825746365672, 172971084083752]

cp's OEIS Frontend

A344500 a(n) = Sum_{k=0..n} binomial(n, k)CT(n, k) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)*CT(n, k), where CT(n, k) is the Catalan triangle A053121.

Table of values

List of values

cp's OEIS Frontend

A344500 a(n) = Sum_{k=0..n} binomial(n, k)*CT(n, k) = Sum_{k=0..n} (-1)^(n-k)*binomial(n, k)*CT(n, k), where CT(n, k) is the Catalan triangle A053121.

Table of values

List of values

A344500 a(n) = Sum_{k=0..n} binomial(n, k)CT(n, k) = Sum_{k=0..n} (-1)^(n-k)binomial(n, k)*CT(n, k), where CT(n, k) is the Catalan triangle A053121.