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.

A089663 a(n) = S1(n, 6), where S1(n, t) = Sum_{k=0..n} (k^t * Sum_{j=0..k} binomial(n,j)).

Table of values

n a(n)
0 0
1 2
2 259
3 6284
4 77180
5 646960
6 4235864
7 23313408
8 112793088
9 493969920
10 1998346240
11 7577934848
12 27232132096
13 93517705216
14 308908943360
15 986642513920
16 3059995508736
17 9247515082752
18 27310549696512
19 79012328898560
20 224396746424320
21 626707269681152

List of values

[0, 2, 259, 6284, 77180, 646960, 4235864, 23313408, 112793088, 493969920, 1998346240, 7577934848, 27232132096, 93517705216, 308908943360, 986642513920, 3059995508736, 9247515082752, 27310549696512, 79012328898560, 224396746424320, 626707269681152]