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.

A277408 Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.

Table of values

n a(n)
0 1
1 1
2 1
3 2
4 3
5 4
6 6
7 12
8 22
9 36
10 24
11 60
12 140
13 300
14 576
15 120
16 360
17 1020
18 2700
19 6576
20 14400
21 720
22 2520
23 8400
24 26460
25 77952
26 211680
27 518400
28 5040
29 20160
30 77280
31 282240
32 974736
33 3151680
34 9408960
35 25401600
36 40320
37 181440
38 786240
39 3265920
40 12930624
41 48444480
42 170098560
43 552303360
44 1625702400
45 362880
46 1814400
47 8769600
48 40824000
49 182226240
50 775656000
51 3126297600
52 11820816000
53 41391544320
54 131681894400
55 3628800
56 19958400
57 106444800
58 548856000
59 2726317440
60 12989592000
61 59044550400
62 254303280000
63 1028448368640
64 3856920883200
65 13168189440000
66 39916800
67 239500800
68 1397088000
69 7903526400
70 43233886080
71 227885011200
72 1152535824000
73 5563643500800
74 25464033745920
75 109530230261760
76 437429486592000
77 1593350922240000

List of values

[1, 1, 1, 2, 3, 4, 6, 12, 22, 36, 24, 60, 140, 300, 576, 120, 360, 1020, 2700, 6576, 14400, 720, 2520, 8400, 26460, 77952, 211680, 518400, 5040, 20160, 77280, 282240, 974736, 3151680, 9408960, 25401600, 40320, 181440, 786240, 3265920, 12930624, 48444480, 170098560, 552303360, 1625702400, 362880, 1814400, 8769600, 40824000, 182226240, 775656000, 3126297600, 11820816000, 41391544320, 131681894400, 3628800, 19958400, 106444800, 548856000, 2726317440, 12989592000, 59044550400, 254303280000, 1028448368640, 3856920883200, 13168189440000, 39916800, 239500800, 1397088000, 7903526400, 43233886080, 227885011200, 1152535824000, 5563643500800, 25464033745920, 109530230261760, 437429486592000, 1593350922240000]