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.

A230137 a(n)/2^n is the expected value of the maximum of the number of heads and the number of tails when n fair coins are tossed.

Table of values

n a(n)
0 0
1 2
2 6
3 18
4 44
5 110
6 252
7 588
8 1304
9 2934
10 6380
11 14036
12 30120
13 65260
14 138712
15 297240
16 627248
17 1332902
18 2796876
19 5904516
20 12333320
21 25899972
22 53897096
23 112693928
24 233776464
25 487034300
26 1007623032
27 2092755528
28 4319728784
29 8948009624
30 18432890160
31 38094639664

List of values

[0, 2, 6, 18, 44, 110, 252, 588, 1304, 2934, 6380, 14036, 30120, 65260, 138712, 297240, 627248, 1332902, 2796876, 5904516, 12333320, 25899972, 53897096, 112693928, 233776464, 487034300, 1007623032, 2092755528, 4319728784, 8948009624, 18432890160, 38094639664]