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.

A025566 a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is a nonnegative integer, s(0) = 0, s(1) = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = sum of numbers in row n+1 of the array T defined in A026105. Also a(n) = T(n,n), where T is the array defined in A025564.

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 8
5 22
6 61
7 171
8 483
9 1373
10 3923
11 11257
12 32418
13 93644
14 271219
15 787333
16 2290200
17 6673662
18 19478091
19 56930961
20 166613280
21 488176938
22 1431878079
23 4203938697
24 12353600427
25 36331804089
26 106932444885
27 314946659951
28 928213563878

List of values

[1, 1, 1, 3, 8, 22, 61, 171, 483, 1373, 3923, 11257, 32418, 93644, 271219, 787333, 2290200, 6673662, 19478091, 56930961, 166613280, 488176938, 1431878079, 4203938697, 12353600427, 36331804089, 106932444885, 314946659951, 928213563878]