cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A359067 a(2*n) = Sum_{k=0..n-1} binomial(2*n,k) binomial(2*n-1-k, n-1-k). a(2*n+1) = (Sum_{k=0..n} binomial(2*n+1,k) binomial(2*n-k, n-k)) - binomial(2*n-1, n).

Table of values

n a(n)
1 0
2 1
3 4
4 7
5 28
6 49
7 199
8 351
9 1436
10 2561
11 10499
12 18943
13 77617
14 141569
15 579149
16 1066495
17 4354780
18 8085505
19 32954635
20 61616127
21 250713893
22 471556097
23 1915928117
24 3621830655
25 14696701553
26 27902803969
27 113099318869
28 215530668031
29 872780984131
30 1668644405249
31 6751457741849

List of values

[0, 1, 4, 7, 28, 49, 199, 351, 1436, 2561, 10499, 18943, 77617, 141569, 579149, 1066495, 4354780, 8085505, 32954635, 61616127, 250713893, 471556097, 1915928117, 3621830655, 14696701553, 27902803969, 113099318869, 215530668031, 872780984131, 1668644405249, 6751457741849]