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A122060 Position in decimal expansion of 1/n where repetition begins. +0
1
2, 3, 2, 4, 3, 3, 7, 5, 2, 3, 3, 4, 7, 8, 3, 6, 17, 3, 19, 4, 7, 4, 23, 5, 4, 8, 4, 11, 29, 3 (list; graph; listen)
OFFSET

1,1

COMMENT

If 1/n = 0.XYYYYY... then sequence gives index of first digit of the second Y.

a(4) = 4 and a(p) = p for primes p = {7, 17, 19, 23, 29, 47, 59, 61, 97, ...} = A001913(n) Cyclic numbers: primes with primitive root 10. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 28 2007

FORMULA

a(n)=A121341(n)+2 if 1/n terminates, else a(n)=A121341(n)+1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 20 2006

EXAMPLE

a(4) = 4 because in .2500 the zero begins repeating at the fourth position

a(17) = 17 because .52631578947368421053 begins repeating at the 17th position

CROSSREFS

Cf. A001913.

Cf. A002371.

Sequence in context: A070296 A072645 A135817 this_sequence A088939 A004596 A118653

Adjacent sequences: A122057 A122058 A122059 this_sequence A122061 A122062 A122063

KEYWORD

nonn

AUTHOR

Ben Thurston (benthurston27(AT)yahoo.com), Sep 14 2006

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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