A374789 - OEIS

%I #12 Jul 21 2024 12:48:39

%S 0,1,3,2,4,9,5,6,10,7,12,11,8,13,27,14,15,18,28,16,19,30,29,17,21,20,

%T 31,22,36,32,33,23,24,37,34,25,39,38,35,26,40,81,41,42,45,54,82,43,46,

%U 55,84,83,44,48,47,57,56,85,49,58,90,86,87,50,51,63,59,60

%N Distinct values of A374560, in order of appearance, with offset 0.

%C This sequence is a permutation of the nonnegative integers with inverse A374790.

%C This sequence has infinitely many fixed points (A003462 among others).

%H Rémy Sigrist, <a href="/A374789/b374789.txt">Table of n, a(n) for n = 0..9841</a>

%H Rémy Sigrist, <a href="/A374789/a374789.gp.txt">PARI program</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F a(n) <= A003462(k) for any n <= A003462(k).

%e The first terms of A374560 alongside the first terms of this sequence are:

%e   m   A374560(m)  n  a(n)

%e   --  ----------  -  ----

%e    0           0  0     0

%e    1           1  1     1

%e    2           1

%e    3           3  2     3

%e    4           2  3     2

%e    5           3

%e    6           4  4     4

%e    7           4

%e    8           4

%e    9           4

%e   10           9  5     9

%e   11           5  6     5

%e   12           6  7     6

%o (PARI) \\ See Links section.

%Y Cf. A003462, A374560, A374790 (inverse).

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Jul 20 2024