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.

A316387 Consider coefficients U(m,L,k) defined by the identity Sum_{k=1..L} Sum_{j=0..m} A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = Sum_{k=0..m} (-1)^(m-k) * U(m,L,k) * T^k that holds for all positive integers L,m,T. This sequence gives 4-column table read by rows, where the n-th row lists coefficients U(3,n,k) for k = 0, 1, 2, 3; n >= 1.

Table of values

n a(n)
1 125
2 406
3 420
4 140
5 9028
6 13818
7 7140
8 1260
9 110961
10 115836
11 41160
12 5040
13 684176
14 545860
15 148680
16 14000
17 2871325
18 1858290
19 411180
20 31500
21 9402660
22 5124126
23 955500
24 61740
25 25872833
26 12182968
27 1963920
28 109760
29 62572096
30 25945416
31 3684240
32 181440
33 136972701
34 50745870
35 6439860
36 283500
37 276971300
38 92745730
39 10639860
40 423500

List of values

[125, 406, 420, 140, 9028, 13818, 7140, 1260, 110961, 115836, 41160, 5040, 684176, 545860, 148680, 14000, 2871325, 1858290, 411180, 31500, 9402660, 5124126, 955500, 61740, 25872833, 12182968, 1963920, 109760, 62572096, 25945416, 3684240, 181440, 136972701, 50745870, 6439860, 283500, 276971300, 92745730, 10639860, 423500]