A306992 - OEIS

A306992

Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is digitally balanced.

1, 2, 5, 7, 6, 25, 9, 15, 10, 17, 12, 13, 4, 3, 14, 11, 18, 31, 19, 29, 8, 23, 26, 22, 40, 63, 33, 69, 36, 67, 34, 21, 99, 27, 30, 82, 28, 81, 35, 61, 16, 47, 50, 53, 48, 73, 37, 20, 41, 56, 45, 49, 43, 52, 51, 42, 54, 46, 55, 44, 57, 38, 65, 127, 66, 135, 70

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

OFFSET

1,2

COMMENTS

Digitally balanced numbers correspond to A031443.

This sequence has similarities with A269361.

LINKS

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

Rémy Sigrist, PARI program for A306992

EXAMPLE

The first terms, alongside the binary representation of a(n)*a(n+1), are:

n a(n) bin(a(n)*a(n+1))