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A116441
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Numbers n which when sandwiched between two 6's give a multiple of n.
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0
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1, 2, 3, 6, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 137, 146, 219, 274, 411, 438, 822, 9091, 19802, 29703, 59406, 909091, 5882353, 10989011, 12145749, 12987013, 13986014, 14354067, 15037594, 20979021, 21978022, 22556391
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| 39 belongs since 6396 is a multiple 39 (39*164).
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MATHEMATICA
| f[k_, d_] := Flatten@Table[Select[Divisors[k*(10^(i + 1) + 1)], IntegerLength[ # ] == i &], {i, d}]; f[6, 8] (*Chandler*)
Select[Range[23000000], Divisible[FromDigits[Join[{6}, IntegerDigits[#], {6}]], #]&] [From Harvey P. Dale, Jan. 12, 2011]
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CROSSREFS
| Cf. A116436-A116444.
Sequence in context: A004038 A152038 A105614 * A116051 A124593 A125882
Adjacent sequences: A116438 A116439 A116440 * A116442 A116443 A116444
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KEYWORD
| base,nonn
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AUTHOR
| Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 15 2006
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