Revision History for A078268
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strikethrough text is a deletion.)
Showing entries 1-10
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A078268
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Smallest integer which is an integer multiple of the number N obtained by placing the string "n" after a decimal point.
(history;
published version)
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#25 by N. J. A. Sloane at Wed May 01 05:43:16 EDT 2019
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#24 by Jon E. Schoenfield at Sun Apr 28 11:14:33 EDT 2019
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#23 by Jon E. Schoenfield at Sun Apr 28 11:14:27 EDT 2019
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#22 by Jon E. Schoenfield at Sun Apr 28 11:14:11 EDT 2019
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| COMMENTS
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a(n) = numerator of fraction a / /b, where ( gcd(a, b) = 1, such that its decimal representation has the form 0,(.(n). Denominators in A078267: 10, 5, 10, 5, 2, 5, 10, 5, 10, 10, 100,... , ... Example: a(6) = 3; 3 / /5 = 0,.6. [_. - _Jaroslav Krizek_, Feb 05 2010]
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| FORMULA
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a(n) = n *A078267(n)/10^A055642(n). [From _). - _Jaroslav Krizek_, Feb 05 2010]
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| STATUS
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approved
editing
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#21 by Susanna Cuyler at Sun Mar 31 07:20:06 EDT 2019
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#20 by Michel Marcus at Sun Mar 31 06:23:42 EDT 2019
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#19 by Michel Marcus at Sun Mar 31 06:23:36 EDT 2019
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| COMMENTS
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a(n) = numerator of fraction a / b, where (a, b) = 1, such that its decimal representation has form 0,(n). Denominators in A078267: 10, 5, 10, 5, 2, 5, 10, 5, 10, 10, 100,... Example: a(6) = 3; 3 / 5 = 0,6. [From _. [_Jaroslav Krizek_, Feb 05 2010]
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| PROG
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(PARI) a(n) = numerator(n/10^(#Str(n))); \\ Michel Marcus, Mar 31 2019
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| KEYWORD
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base,frac,nonn
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| STATUS
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approved
editing
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#18 by Bruno Berselli at Fri Jul 25 17:11:55 EDT 2014
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#17 by Robert Israel at Fri Jul 25 16:52:10 EDT 2014
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#16 by Robert Israel at Fri Jul 25 16:50:47 EDT 2014
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| COMMENTS
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a(n) = n iff gcd(n,10) = 1. - Robert Israel, Jul 25 2014
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| MAPLE
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a:= n -> numer(n/10^(1+ilog10(n))):
seq(a(n), n=1..100); # Robert Israel, Jul 25 2014
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| STATUS
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proposed
editing
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