A300625 - cp's OEIS frontend

A300625 Table of row functions R(n,x) that satisfy: [x^k] exp( k^n * R(n,x) ) = k^n * [x^(k-1)] exp( k^n * R(n,x) ) for k>=1, n>=1, read by antidiagonals.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	3
7	1
8	4
9	27
10	14
11	1
12	8
13	243
14	736
15	85
16	1
17	16
18	2187
19	40448
20	30525
21	621
22	1
23	32
24	19683
25	2351104
26	12519125
27	1715454
28	5236
29	1
30	64
31	177147
32	142475264
33	6153518125
34	6111917748
35	123198985
36	49680
37	1
38	128
39	1594323
40	8856272896
41	3436799053125
42	31779658925496
43	4308276119854
44	10931897664
45	521721
46	1
47	256
48	14348907
49	558312194048
50	2049047412828125
51	212148041589128016
52	287364845865893467
53	4151360558858752
54	1172808994833
55	5994155

[1, 1, 1, 1, 2, 3, 1, 4, 27, 14, 1, 8, 243, 736, 85, 1, 16, 2187, 40448, 30525, 621, 1, 32, 19683, 2351104, 12519125, 1715454, 5236, 1, 64, 177147, 142475264, 6153518125, 6111917748, 123198985, 49680, 1, 128, 1594323, 8856272896, 3436799053125, 31779658925496, 4308276119854, 10931897664, 521721, 1, 256, 14348907, 558312194048, 2049047412828125, 212148041589128016, 287364845865893467, 4151360558858752, 1172808994833, 5994155]

cp's OEIS Frontend

A300625 Table of row functions R(n,x) that satisfy: [x^k] exp( k^n * R(n,x) ) = k^n * [x^(k-1)] exp( k^n * R(n,x) ) for k>=1, n>=1, read by antidiagonals.

Table of values

List of values