

A108343


Gapful numbers >= 100: numbers that are divisible by the number formed by their first and last digit. Numbers up to 100 trivially have this property and are excluded.


1



100, 105, 108, 110, 120, 121, 130, 132, 135, 140, 143, 150, 154, 160, 165, 170, 176, 180, 187, 190, 192, 195, 198, 200, 220, 225, 231, 240, 242, 253, 260, 264, 275, 280, 286, 297, 300, 315, 330, 341, 352, 360, 363, 374, 385, 390, 396, 400, 405, 440, 451
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OFFSET

1,1


LINKS

Aaron Toponce, Table of n, a(n) for n = 1..10000


EXAMPLE

253 is in the sequence because 253 = 11 * 23 and 23 is the concatenation of 2 and 3 (first and last digit of 253).


MATHEMATICA

fQ[ n_ ] := Block[ {id = IntegerDigits[ n ]}, IntegerQ[ n / FromDigits[ {id[ [ 1 ] ], id[ [ 1 ] ]} ] ] ]; Select[ Range[ 100, 461 ], fQ[ # ] & ] (* Robert G. Wilson v, Jul 19 2005 *)


CROSSREFS

Sequence in context: A092633 A213313 A204584 * A204585 A128818 A204586
Adjacent sequences: A108340 A108341 A108342 * A108344 A108345 A108346


KEYWORD

nonn,base


AUTHOR

Luca Colucci, Jul 01 2005


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Jul 19 2005


STATUS

approved



