A370369 - cp's OEIS frontend

A370369 a(n) = n! + Sum_{k=1..n-1} (n-k)*k! = n! + A014145(n-1); for n >= 2, number of m such that any two consecutive digits of the base-n expansion of m differ by 1 after arranging the digits in decreasing order.

n	a(n)
1	1
2	3
3	10
4	37
5	166
6	919
7	6112
8	47305
9	416098
10	4091131
11	44417044
12	527456557
13	6798432070
14	94499679583
15	1408924024696
16	22425642181009
17	379514672913322
18	6804212771165635
19	128827325000617948
20	2568509718703606261
21	53787877376348226574
22	1180349932648067726887
23	27086018941198865627200

[1, 3, 10, 37, 166, 919, 6112, 47305, 416098, 4091131, 44417044, 527456557, 6798432070, 94499679583, 1408924024696, 22425642181009, 379514672913322, 6804212771165635, 128827325000617948, 2568509718703606261, 53787877376348226574, 1180349932648067726887, 27086018941198865627200]

cp's OEIS Frontend

A370369 a(n) = n! + Sum_{k=1..n-1} (n-k)*k! = n! + A014145(n-1); for n >= 2, number of m such that any two consecutive digits of the base-n expansion of m differ by 1 after arranging the digits in decreasing order.

Table of values

List of values