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Search: id:A079339
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| A079339 |
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Least k such that k*n contains only 1's and 0's in decimal representation of k*n, or 0 if no k exists. |
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+0
20
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| 1, 5, 37, 25, 2, 185, 143, 125, 12345679, 1, 1, 925, 77, 715, 74, 625, 653, 61728395, 579, 5, 481, 5, 4787, 4625, 4, 385, 40781893, 3575, 37969, 37, 3581, 3125, 3367, 3265, 286, 308641975, 3, 2895, 259, 25, 271, 2405, 25607, 25, 24691358, 23935, 213, 23125
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = A004290(n)/n.
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EXAMPLE
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3*37=111 and no integer k<37 has this property, hence a(3)=37
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PROGRAM
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(PARI) ?d(n, i)=floor(n/10^(i-1))-10*floor(n/10^i); ?test(n)=sum(i=1, ceil(log(n)/log(10)), if(d(n, i)*(1-d(n, i)), 1, 0)); ?a(n)=if(n<0, 0, s=1; while(test(n*s)>0, s++); s)
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CROSSREFS
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Cf. A004290, A070189, A078241-A078248, A079339, A096681-A096688.
Sequence in context: A002666 A119483 A157809 this_sequence A043075 A106129 A096673
Adjacent sequences: A079336 A079337 A079338 this_sequence A079340 A079341 A079342
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KEYWORD
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base,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 13 2003
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs) and Matthew Vandermast (ghodges14(AT)comcast.net), Feb 14 2003
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