

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.


4



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
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OFFSET

1,2


LINKS

JeanMarc 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 A123895 A147519
Adjacent sequences: A333719 A333720 A333721 * A333723 A333724 A333725


KEYWORD

base,nonn


AUTHOR

Eric Angelini and JeanMarc Falcoz, Apr 03 2020


STATUS

approved



