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.

A366151 a(n) = T(n, 3), where T(n, k) = Sum_{i=0..n} i^k * binomial(n, i) * (1/2)^(n-k).

Table of values

n a(n)
0 0
1 4
2 20
3 54
4 112
5 200
6 324
7 490
8 704
9 972
10 1300
11 1694
12 2160
13 2704
14 3332
15 4050
16 4864
17 5780
18 6804
19 7942
20 9200
21 10584
22 12100
23 13754
24 15552
25 17500
26 19604
27 21870
28 24304
29 26912
30 29700
31 32674
32 35840
33 39204
34 42772
35 46550

List of values

[0, 4, 20, 54, 112, 200, 324, 490, 704, 972, 1300, 1694, 2160, 2704, 3332, 4050, 4864, 5780, 6804, 7942, 9200, 10584, 12100, 13754, 15552, 17500, 19604, 21870, 24304, 26912, 29700, 32674, 35840, 39204, 42772, 46550]