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Search: id:A004794
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A004794 Least positive integer k such that the fractional part of k*sqrt(5) has its n initial partial quotients all equal to 1. +0
2
3, 7, 7, 28, 45, 189, 799, 2091, 2091, 8856, 14329, 60697, 257115, 673135, 673135, 2851444, 4613733, 19544085, 82790071, 216747219, 216747219, 918155952, 1485607537, 6293134513, 26658145587, 69791931223, 69791931223, 295643364940 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = (Fib(12[ n/6 ] + S_(n mod 6))+1)/2 where S = (2, 5, 7, 7, 10, 11).

CROSSREFS

Sequence in context: A157102 A121172 A077629 this_sequence A086839 A064208 A078004

Adjacent sequences: A004791 A004792 A004793 this_sequence A004795 A004796 A004797

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

EXTENSIONS

More terms and formula from David W. Wilson (davidwwilson(AT)comcast.net) May 15 1997

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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