A327735 Lexicographically earliest sequence of distinct positive numbers such that if we add ten successive digits the result is divisible by 10.

1, 2, 3, 4, 5, 6, 7, 8, 9, 51, 23, 45, 67, 89, 512, 34, 56, 78, 95, 12, 345, 678, 951, 234, 567, 895, 123, 456, 789, 5123, 4567, 8951, 2345, 6789, 51234, 5678, 9512, 3456, 7895, 1234, 56789, 512345, 67895, 12345, 678951, 23456, 78951, 234567, 89512, 34567

Offset

1,2

Comments

The infinite string resulting from the concatenation of all terms matches the regular expression "^(1234567895)*".

Links

Table of n, a(n) for n=1..50.

Rémy Sigrist, PARI program for A327735

Rémy Sigrist, Logarithmic scatterplot of the first 500 terms

Formula

Apparently, a(n + 100) = a(n) * 10^10 + (a(n) mod 10^10) for any n >= 90.

Prog

(PARI) See Links section.

Crossrefs

See A327453 and A327733 for other variants.

Sequence in context: A024660 A257814 A327455 * A133287 A133377 A121535

Adjacent sequences: A327732 A327733 A327734 * A327736 A327737 A327738

Keyword

nonn,base

Author

Rémy Sigrist, Sep 23 2019

Status

approved