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.

A340263 T(n, k) = [x^k] ((1-x)^(2^n) + 2^(-n)*((2^n-1)*(x-1)^(2^n) + (x+1)^(2^n)))/2. Irregular triangle read by rows, for n >= 0 and 0 <= k <= 2^n.

Table of values

n a(n)
0 1
1 1
2 -1
3 1
4 1
5 -3
6 6
7 -3
8 1
9 1
10 -7
11 28
12 -49
13 70
14 -49
15 28
16 -7
17 1
18 1
19 -15
20 120
21 -525
22 1820
23 -4095
24 8008
25 -10725
26 12870
27 -10725
28 8008
29 -4095
30 1820
31 -525
32 120
33 -15
34 1

List of values

[1, 1, -1, 1, 1, -3, 6, -3, 1, 1, -7, 28, -49, 70, -49, 28, -7, 1, 1, -15, 120, -525, 1820, -4095, 8008, -10725, 12870, -10725, 8008, -4095, 1820, -525, 120, -15, 1]