OFFSET
0,3
COMMENTS
This sequence is a self-inverse permutation of the nonnegative integers.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..5039
Rémy Sigrist, Colored scatterplot of the first 8! terms (where the color is function of the multiset of frequencies of n)
Rémy Sigrist, PARI program for A342116
EXAMPLE
The first terms, in decimal and in factorial base, alongside the corresponding multisets of frequencies (ignoring 0's), are:
n a(n) fact(n) fact(a(n)) freq(n)
-- ---- ------- ---------- ------------
0 0 0 0 ()
1 1 1 1 (1)
2 5 10 21 (1, 1)
3 3 11 11 (2)
4 4 20 20 (1, 1)
5 2 21 10 (1, 1)
6 21 100 311 (1, 2)
7 18 101 300 (1, 2)
8 17 110 221 (1, 2)
9 9 111 111 (3)
10 23 120 321 (1, 1, 1)
11 16 121 220 (1, 2)
12 15 200 211 (1, 2)
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Feb 28 2021
STATUS
approved