STATUS
reviewed
approved
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Revision History for A004794
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Least positive integer k such that the fractional part of k*sqrt(5) has its n initial partial quotients all equal to 1.
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
FORMULA
a(n) = (Fib(12[ n/6 ] + S_(n mod 6))+1)/2 where S = (2, 5, 7, 7, 10, 11). - _David W. Wilson_, May 15 1997
EXTENSIONS
More terms and formula from David W. Wilson , May 15 1997
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
FORMULA
Empirical g.f.: -x*(x^12 -x^10 +3*x^9 +4*x^7 -356*x^6 +144*x^5 +17*x^4 +21*x^3 +4*x +3) / ((x -1)*(x^2 -3*x +1)*(x^2 +3*x +1)*(x^4 -3*x^3 +8*x^2 -3*x +1)*(x^4 +3*x^3 +8*x^2 +3*x +1)). - Colin Barker, Jul 14 2013
STATUS
approved
editing
AUTHOR
Clark Kimberling (ck6(AT)evansville.edu)
EXTENSIONS
More terms and formula from _David W. Wilson (davidwwilson(AT)comcast.net) _ May 15 1997
KEYWORD
nonn,new
nonn
EXTENSIONS
More terms and formula from David W. Wilson (davidwwilson(AT)attbicomcast.comnet) May 15 1997