A306993 - OEIS

A306993

Lexicographically earliest sequence of distinct positive terms such that for any n > 0, n * a(n) is digitally balanced.

2, 1, 3, 11, 7, 25, 5, 23, 15, 17, 4, 13, 12, 43, 9, 47, 10, 31, 29, 37, 34, 26, 8, 39, 6, 22, 30, 81, 19, 27, 18, 95, 63, 21, 61, 67, 20, 57, 24, 70, 56, 51, 14, 55, 49, 54, 16, 53, 45, 58, 42, 65, 48, 46, 44, 41, 38, 50, 62, 149, 35, 59, 33, 191, 52, 127, 36

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Digitally balanced numbers correspond to A031443.

This sequence has similarities with A300868.

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

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A306993

Rémy Sigrist, Colored scatterplot of the first 10000 terms (where the color is function of A000120(n*a(n)))

Index entries for sequences that are permutations of the natural numbers