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.

A058127 Triangle read by rows: T(j,k) is the number of acyclic functions from {1,...,j} to {1,...,k}. For n >= 1, a(n) = (k-j)*k^(j-1), where k is such that C(k,2) < n <= C(k+1,2) and j = (n-1) mod C(k,2). Alternatively, table T(k,j) read by antidiagonals with k >= 1, 0 <= j <= k: T(k,j) = number of acyclic-function digraphs on k vertices with j vertices of outdegree 1 and (k-j) vertices of outdegree 0; T(k,j) = (k-j)*k^(j-1).

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 2
6 3
7 1
8 3
9 8
10 16
11 1
12 4
13 15
14 50
15 125
16 1
17 5
18 24
19 108
20 432
21 1296
22 1
23 6
24 35
25 196
26 1029
27 4802
28 16807
29 1
30 7
31 48
32 320
33 2048
34 12288
35 65536
36 262144
37 1
38 8
39 63
40 486
41 3645
42 26244
43 177147
44 1062882
45 4782969
46 1
47 9
48 80
49 700
50 6000
51 50000
52 400000
53 3000000
54 20000000
55 100000000

List of values

[1, 1, 1, 1, 2, 3, 1, 3, 8, 16, 1, 4, 15, 50, 125, 1, 5, 24, 108, 432, 1296, 1, 6, 35, 196, 1029, 4802, 16807, 1, 7, 48, 320, 2048, 12288, 65536, 262144, 1, 8, 63, 486, 3645, 26244, 177147, 1062882, 4782969, 1, 9, 80, 700, 6000, 50000, 400000, 3000000, 20000000, 100000000]