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.

A270737 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))*F(k+1)/(k+1)), where F(k) is Fibonacci numbers.

Table of values

n a(n)
0 1
1 3
2 5
3 10
4 20
5 42
6 91
7 195
8 415
9 880
10 1864
11 3952
12 8385
13 17795
14 37765
15 80138
16 170044
17 360810
18 765595
19 1624515
20 3447071
21 7314368
22 15520400
23 32932800
24 69880225
25 148279107
26 314634021
27 667623210
28 1416632420
29 3005958090
30 6378354619

List of values

[1, 3, 5, 10, 20, 42, 91, 195, 415, 880, 1864, 3952, 8385, 17795, 37765, 80138, 170044, 360810, 765595, 1624515, 3447071, 7314368, 15520400, 32932800, 69880225, 148279107, 314634021, 667623210, 1416632420, 3005958090, 6378354619]