A101461 - cp's OEIS frontend

A101461 Row maximum of Catalan triangle with zeros (A053121), i.e., maximum value of (m+1)*binomial(n+1,(n-m)/2)/(n+1) for given n with m same parity as n.

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	5
6	9
7	14
8	28
9	48
10	90
11	165
12	297
13	572
14	1001
15	2002
16	3640
17	7072
18	13260
19	25194
20	48450
21	90440
22	177650
23	326876
24	653752
25	1225785
26	2414425
27	4601610
28	8947575
29	17298645
30	33266625
31	65132550
32	124062000
33	245642760
34	463991880
35	927983760

[1, 1, 1, 2, 3, 5, 9, 14, 28, 48, 90, 165, 297, 572, 1001, 2002, 3640, 7072, 13260, 25194, 48450, 90440, 177650, 326876, 653752, 1225785, 2414425, 4601610, 8947575, 17298645, 33266625, 65132550, 124062000, 245642760, 463991880, 927983760]

cp's OEIS Frontend

A101461 Row maximum of Catalan triangle with zeros (A053121), i.e., maximum value of (m+1)*binomial(n+1,(n-m)/2)/(n+1) for given n with m same parity as n.

Table of values

List of values