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A108343
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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.
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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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).
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MATHEMATICA
| fQ[ n_ ] := Block[ {id = IntegerDigits[ n ]}, IntegerQ[ n / FromDigits[ {id[ [ 1 ] ], id[ [ -1 ] ]} ] ] ]; Select[ Range[ 100, 461 ], fQ[ # ] & ] (* Robert G. Wilson v *)
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CROSSREFS
| Sequence in context: A063010 A094027 A092633 * A128818 A134496 A191752
Adjacent sequences: A108340 A108341 A108342 * A108344 A108345 A108346
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KEYWORD
| nonn,base
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AUTHOR
| Luca Colucci (lcolucci(AT)caridata.it), Jul 01 2005
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EXTENSIONS
| Corrected and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Jul 19 2005
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