A332703 Lexicographically earliest sequence of distinct positive terms such that a(n) is a substring of a(n)*a(n+1).

1, 10, 11, 100, 21, 58, 51, 69, 39, 87, 33, 101, 1000, 31, 102, 501, 699, 1001, 10000, 41, 59, 27, 103, 1002, 5001, 6999, 8144, 626, 739, 506, 693, 533, 404, 251, 767, 752, 126, 894, 793, 981, 202, 1003, 10001, 100000, 61, 92, 26, 151, 1004, 2501, 7697, 5037, 6453, 20001, 59998, 50001, 69999

Offset

1,2

Links

Scott Shannon, Table of n, a(n) for n = 1..3656

Example

1, 10, 11, 100, 21, 58, 51, 69,
a(1)*a(2) = 1*10 = 100 with 1 substring of 100;
a(2)*a(3) = 10*11 = 110 with 10 substring of 110;
a(3)*a(4) = 11*100 = 1100 with 11 substring of 1100;
a(4)*a(5) = 100*21 = 2100 with 100 substring of 2100;
a(5)*a(6) = 21*58 = 1218 with 21 substring of 1218;
a(6)*a(7) = 58*51 = 2958 with 58 substring of 2958;
a(7)*a(8) = 51*69 = 3519 with 51 substring of 3519; etc.

Crossrefs

Cf. A086064.

Sequence in context: A045953 A136830 A153069 * A178569 A332795 A303605

Adjacent sequences: A332700 A332701 A332702 * A332704 A332705 A332706

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 20 2020

Status

approved