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Search: id:A079847
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| A079847 |
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Smallest multiple of n in which the string of digits of n occur after (n-1) Most significant digits. |
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+0
1
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| 1, 12, 123, 1004, 10005, 100026, 1000027, 10000008, 100000089, 10000000010, 100000000111, 1000000000212, 10000000000913, 100000000000614, 1000000000000215, 10000000000000016, 100000000000000517
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OFFSET
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1,2
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FORMULA
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For n>1, let n' = n/2^a/5^b be n with all factors of 2 and 5 removed. Then a(n) = (10^{n-2}+mod(-(10^{n-2},n')) * 10^(floor(log_10(n))+1) + n. (The mod function used here always returns a nonnegative result; e.g. mod(-2,7) = 5.) - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jul 27 2006
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EXAMPLE
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a(4) = 1004, 4 occus as the 4-th digit from the left. a(10) = 10000000010. ('10') occurs afetr 9 digits.
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CROSSREFS
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Sequence in context: A113574 A078189 A127422 this_sequence A113572 A037701 A037610
Adjacent sequences: A079844 A079845 A079846 this_sequence A079848 A079849 A079850
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 18 2003
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 04 2003
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