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.

A316349 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 3-column table read by rows, where the n-th row lists coefficients U(2,n,k) for k = 0, 1, 2; n >= 1.

Table of values

n a(n)
1 31
2 60
3 30
4 512
5 540
6 150
7 2943
8 2160
9 420
10 10624
11 6000
12 900
13 29375
14 13500
15 1650
16 68256
17 26460
18 2730
19 140287
20 47040
21 4200
22 263168
23 77760
24 6120
25 459999
26 121500
27 8550
28 760000
29 181500
30 11550
31 1199231
32 261360
33 15180
34 1821312
35 365040
36 19500
37 2678143
38 496860
39 24570
40 3830624
41 661500
42 30450

List of values

[31, 60, 30, 512, 540, 150, 2943, 2160, 420, 10624, 6000, 900, 29375, 13500, 1650, 68256, 26460, 2730, 140287, 47040, 4200, 263168, 77760, 6120, 459999, 121500, 8550, 760000, 181500, 11550, 1199231, 261360, 15180, 1821312, 365040, 19500, 2678143, 496860, 24570, 3830624, 661500, 30450]