A333722 Lexicographically earliest permutation of the positive integers such that a(n), a(n+1) and the product a(n)*a(n+1) have in common at least one identical substring.

1, 10, 11, 12, 2, 21, 15, 5, 25, 29, 28, 24, 22, 26, 6, 16, 36, 37, 39, 34, 14, 13, 3, 31, 23, 27, 71, 7, 97, 69, 56, 45, 35, 38, 18, 48, 8, 81, 17, 47, 42, 44, 41, 4, 46, 40, 20, 30, 50, 51, 52, 53, 55, 57, 65, 54, 49, 19, 61, 60, 66, 76, 64, 62, 63, 96, 67, 68, 85, 59, 75, 58, 83, 33, 93, 43, 32, 72, 92, 98, 80, 70, 90, 91, 9

Offset

1,2

Links

Jean-Marc Falcoz, Table of n, a(n) for n = 1..20002

Example

a(1) = 1 and a(2) = 10 share with their product 10 the substring 1;
a(2) = 10 and a(3) = 11 share with their product 110 the substring 1;
a(3) = 11 and a(4) = 12 share with their product 132 the substring 1;
a(4) = 12 and a(5) = 2 share with their product 24 the substring 2;
a(5) = 2 and a(6) = 21 share with their product 42 the substring 2; etc.

Crossrefs

Cf. A333723 (lists the products a(n) * a(n+1) in their order of appearance here), A333724 (lists the biggest substring shared by a(n), a(n+1) and (a(n)*a(n+1)) in their order of appearance here), A262323 (is the lexicographically earliest sequence of distinct terms such that the decimal representations of two consecutive terms overlap).

Sequence in context: A286890 A262323 A262412 * A299981 A347180 A123895

Adjacent sequences: A333719 A333720 A333721 * A333723 A333724 A333725

Keyword

base,nonn

Author

Eric Angelini and Jean-Marc Falcoz, Apr 03 2020

Status

approved