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Search: id:A116444
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| A116444 |
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Numbers n which when sandwiched between two 9's give a multiple of n. |
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+0
9
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| 1, 3, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 137, 219, 411, 657, 9091, 29703, 89109, 909091, 5882353, 10989011, 12145749, 12987013, 14354067, 20979021, 22556391, 32967033, 36437247, 38961039, 43062201, 52631579, 62937063, 67669173
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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411 belongs since 94119 is a multiple of 411 (411*229).
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MATHEMATICA
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f[k_, d_] := Flatten@Table[Select[Divisors[k*(10^(i + 1) + 1)], IntegerLength[ # ] == i &], {i, d}]; f[9, 8] (*Chandler*)
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PROGRAM
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(PARI)for(d=1, 10, fordiv(9*10^(d+1)+9, a, if(#Str(a)==d, print1(a", ")))) /*Fuller*/
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CROSSREFS
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Cf. A116436-A116443.
Adjacent sequences: A116441 A116442 A116443 this_sequence A116445 A116446 A116447
Sequence in context: A059868 A101735 A101620 this_sequence A065136 A075720 A106373
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KEYWORD
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base,nonn
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AUTHOR
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Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 15 2006
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EXTENSIONS
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Corrected by Martin Fuller (martin_n_fuller(AT)btinternet.com), May 10 2007
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