A080436 Smallest multiple of n obtained by inserting digits between every pair of digits of n. If n is a k-digit number then there are (k-1) places where digit insertion takes place and a(n) contains at least 2k-1 digits.

1, 2, 3, 4, 5, 6, 7, 8, 9, 100, 121, 132, 143, 154, 105, 176, 187, 108, 1159, 200, 231, 242, 253, 264, 225, 286, 297, 2128, 2059, 300, 341, 352, 363, 374, 315, 396, 3367, 3078, 3159, 400, 451, 462, 473, 484, 405, 4186, 4277, 4128, 4459, 500, 561, 572, 583, 594

Offset

1,2

Links

Table of n, a(n) for n=1..54.

Example

a(18) = 108, but a(19) = 1159 requires two digits to be inserted. a(100) = 10000. a(111)= 10101. 10101= 111*91.

Crossrefs

Cf. A110734, A110735.

Sequence in context: A087019 A044911 A110734 * A135295 A122625 A347400

Adjacent sequences: A080433 A080434 A080435 * A080437 A080438 A080439

Keyword

base,nonn

Author

Amarnath Murthy, Feb 21 2003

Extensions

More terms from Franklin T. Adams-Watters, Sep 25 2006

Status

approved