A181720 a(n) = smallest multiple of n which contains its base 10 reversal as a substring.

1, 2, 3, 4, 5, 6, 7, 8, 9, 1010, 11, 216, 312, 1414, 510, 1616, 714, 810, 912, 1020, 126, 22, 322, 2424, 525, 624, 729, 1820, 928, 3030, 713, 2304, 33, 3434, 3535, 3636, 1073, 836, 936, 1040, 1148, 924, 344, 44, 540, 644, 1974, 384, 294, 1050, 153, 2548, 3551, 1458, 55, 5656, 4275, 1856, 295, 3060

Offset

1,2

Comments

Leading 0's are kept in the reversal: e.g., a(10)=1010, not 10.

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Prog

(Perl) foreach $n(1..60) {$r=reverse($_=$n); $_+=$n until m/$r/; print "$n $_\n"} # Ivan Neretin, Aug 12 2015

Crossrefs

Cf. A181721 (a(n)/n).

Sequence in context: A121939 A276697 A087036 * A349423 A004904 A122624

Adjacent sequences: A181717 A181718 A181719 * A181721 A181722 A181723

Keyword

nonn,base

Author

Claudio Meller, Nov 17 2010

Extensions

Edited by D. S. McNeil, Nov 17 2010

Status

approved