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.

A336517 T(n, k) = numerator([x^k] b(n, x)), where b(n, x) = 2^n*Sum_{k=0..n} binomial(n, k) * Bernoulli(k, 1/2) * x^(n-k). Triangle read by rows, for 0 <= k <= n.

Table of values

n a(n)
0 1
1 0
2 2
3 -1
4 0
5 4
6 0
7 -2
8 0
9 8
10 7
11 0
12 -8
13 0
14 16
15 0
16 14
17 0
18 -80
19 0
20 32
21 -31
22 0
23 28
24 0
25 -80
26 0
27 64
28 0
29 -62
30 0
31 392
32 0
33 -224
34 0
35 128
36 127
37 0
38 -496
39 0
40 1568
41 0
42 -1792
43 0
44 256
45 0
46 762
47 0
48 -992
49 0
50 9408
51 0
52 -1536
53 0
54 512
55 -2555
56 0
57 1524
58 0
59 -4960
60 0
61 6272
62 0
63 -3840
64 0
65 1024

List of values

[1, 0, 2, -1, 0, 4, 0, -2, 0, 8, 7, 0, -8, 0, 16, 0, 14, 0, -80, 0, 32, -31, 0, 28, 0, -80, 0, 64, 0, -62, 0, 392, 0, -224, 0, 128, 127, 0, -496, 0, 1568, 0, -1792, 0, 256, 0, 762, 0, -992, 0, 9408, 0, -1536, 0, 512, -2555, 0, 1524, 0, -4960, 0, 6272, 0, -3840, 0, 1024]