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.

A350290 a(n) = Sum_{k=0..n} (-1)^(n - k) * binomial(n, k) * binomial(n + k - 1, n - k).

Table of values

n a(n)
0 1
1 1
2 -3
3 -2
4 21
5 -4
6 -150
7 155
8 1029
9 -2072
10 -6468
11 22056
12 34122
13 -208857
14 -106249
15 1816958
16 -639067
17 -14629264
18 17635800
19 108117620
20 -239571684
21 -711876496
22 2628772968
23 3825823888
24 -25582846134
25 -10997156129
26 227594431035
27 -98360217830
28 -1864646227185

List of values

[1, 1, -3, -2, 21, -4, -150, 155, 1029, -2072, -6468, 22056, 34122, -208857, -106249, 1816958, -639067, -14629264, 17635800, 108117620, -239571684, -711876496, 2628772968, 3825823888, -25582846134, -10997156129, 227594431035, -98360217830, -1864646227185]