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.

A136421 a(n) = floor((x^n - (1-x)^n)/sqrt(2)+ 1/2) where x = (sqrt(2)+1)/2.

Table of values

n a(n)
1 1
2 1
3 1
4 2
5 2
6 2
7 3
8 3
9 4
10 5
11 6
12 7
13 8
14 10
15 12
16 14
17 17
18 21
19 25
20 31
21 37
22 44
23 54
24 65
25 78
26 94
27 114
28 138
29 166
30 200
31 242
32 292
33 352
34 425
35 514
36 620
37 748
38 903
39 1090
40 1316
41 1589
42 1918
43 2315
44 2794
45 3373
46 4072
47 4915
48 5933
49 7162
50 8645
51 10436
52 12597
53 15206
54 18355
55 22156
56 26745

List of values

[1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 7, 8, 10, 12, 14, 17, 21, 25, 31, 37, 44, 54, 65, 78, 94, 114, 138, 166, 200, 242, 292, 352, 425, 514, 620, 748, 903, 1090, 1316, 1589, 1918, 2315, 2794, 3373, 4072, 4915, 5933, 7162, 8645, 10436, 12597, 15206, 18355, 22156, 26745]