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A078267
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Smallest k such that k*N is an integer where N is obtained by placing the string "n" after a decimal point.
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2
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10, 5, 10, 5, 2, 5, 10, 5, 10, 10, 100, 25, 100, 50, 20, 25, 100, 50, 100, 5, 100, 50, 100, 25, 4, 50, 100, 25, 100, 10, 100, 25, 100, 50, 20, 25, 100, 50, 100, 5, 100, 50, 100, 25, 20, 50, 100, 25, 100, 2, 100, 25, 100, 50, 20, 25, 100, 50, 100, 5, 100, 50, 100, 25, 20
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(10^m) = 10, a(r*10^m) = a(r).
a(n) = denominator of fraction a / b, where (a, b) = 1, such that its decimal representation has form 0,(n). Numerators in A078268: 1, 1, 3, 2, 1, 3, 7, 4, 9, 1, 11, 3, 13,... . Example: a(6) = 5; 3 / 5 = 0,6. Conjecture: a(n) is not equal to the sequence of denominators presented in A172507. a(n) = (A078268(n)*10^A055642(n)) / n. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Feb 05 2010]
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EXAMPLE
| a(40)=5 as 5*0.40=2 is an integer. a(1)=a(10)=10.
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CROSSREFS
| Cf. A078268.
Sequence in context: A030071 A147653 A152611 * A083950 A045617 A158486
Adjacent sequences: A078264 A078265 A078266 * A078268 A078269 A078270
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2002
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EXTENSIONS
| Edited and extended by Henry Bottomley (se16(AT)btinternet.com), Dec 08 2002
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