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.

A104053 Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C_0 = 0, C_2 = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (Sum_{k=0..n} a(n,k)*tanh(1)^k) / (2^n*n! * (1-tanh(1))^n).

Table of values

n a(n)
0 0
1 1
2 0
3 1
4 -1
5 -1
6 -1
7 0
8 0
9 3
10 1
11 -5
12 18
13 -13
14 -7
15 -11
16 70
17 -135
18 65
19 -10
20 45
21 111
22 -609
23 1215
24 -1350
25 1275
26 -621
27 -141
28 -1009
29 6188
30 -16758
31 27335
32 -26845
33 12474
34 -2548
35 1883
36 10977
37 -81353
38 270004
39 -511791
40 584710
41 -420287
42 216468
43 -70169
44 -3599
45 -146691
46 1248210
47 -4715217
48 10303461
49 -14439411

List of values

[0, 1, 0, 1, -1, -1, -1, 0, 0, 3, 1, -5, 18, -13, -7, -11, 70, -135, 65, -10, 45, 111, -609, 1215, -1350, 1275, -621, -141, -1009, 6188, -16758, 27335, -26845, 12474, -2548, 1883, 10977, -81353, 270004, -511791, 584710, -420287, 216468, -70169, -3599, -146691, 1248210, -4715217, 10303461, -14439411]