A322845 - OEIS

A322845

Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has distinct digits in factorial base.

1, 3, 2, 8, 5, 9, 4, 6, 7, 12, 10, 13, 33, 34, 43, 24, 22, 45, 23, 44, 38, 29, 17, 50, 18, 28, 39, 46, 21, 25, 42, 26, 20, 47, 30, 16, 51, 31, 15, 52, 49, 19, 27, 40, 37, 48, 53, 14, 32, 35, 11, 56, 54, 55, 60, 41, 36, 65, 173, 182, 174, 64, 291, 170, 68, 287

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

OFFSET

1,2

COMMENTS

In other words, for any n > 0, a(n) + a(n+1) belongs to A321682.

Apparently, all the positive integers appear in the sequence.

This sequence has interesting graphical features (see scatterplots in Links section).

This sequence is to A321682 what A228730 is to A002113.

LINKS

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

Rémy Sigrist, Scatterplot of the first 181425 terms

Rémy Sigrist, Scatterplot of the first 19958408 terms