A300956 - OEIS

A300956

a(0) = 0, a(1) = 2, a(2) = 1, and for any n > 2 with ternary representation n = Sum_{i=0..k} t_i * 3^i, a(n) = Sum_{i=0..k} a(t_i) * 3^a(i).

0, 2, 1, 18, 20, 19, 9, 11, 10, 6, 8, 7, 24, 26, 25, 15, 17, 16, 3, 5, 4, 21, 23, 22, 12, 14, 13, 774840978, 774840980, 774840979, 774840996, 774840998, 774840997, 774840987, 774840989, 774840988, 774840984, 774840986, 774840985, 774841002, 774841004

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OFFSET

0,2

COMMENTS

This sequence is a self-inverse permutation of the natural numbers.

This sequence has connections with A300955.

This sequence has infinitely many fixed points (A300958); for any k >= 0, at least one of k or 3^k + 2 * 3^a(k) is a fixed point.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Index entries for sequences that are permutations of the natural numbers

FORMULA

A160384(a(n)) = A160384(n).