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A159671
Continued fraction expansion of Landau's constant L.
1
0, 1, 1, 5, 3, 1, 1, 2, 1, 1, 6, 3, 1, 8, 11, 2, 1, 1, 27, 4, 1, 1, 2, 3, 3, 3, 1, 1, 4, 1, 3, 11, 1, 1, 3, 1, 1, 1, 2, 3, 26, 10, 3, 1, 3, 1, 1, 1, 2, 2, 2, 1, 1, 1, 7, 4, 1, 2, 2, 1, 1, 6, 2, 10, 2, 6, 6, 1, 3, 1, 2, 4, 2, 1, 2, 5, 1, 1, 1, 1, 1, 4, 11, 9, 1, 1, 1, 2, 1, 2, 5, 2, 4, 1, 48, 1, 8, 1, 8, 7, 1, 3
OFFSET
0,4
COMMENTS
Terms are computed using the conjectured formula.
LINKS
FORMULA
It is conjectured that L = 0.5432589653429767... = Gamma(1/3)*Gamma(5/6)/Gamma(1/6).
EXAMPLE
L = 0.543258965342976706952728...= 0 + 1/(1 + 1/(1 + 1/(5 + 1/(3 + ...)))).
PROG
(PARI) { default(realprecision, 1080); x=contfrac(gamma(1/3)*gamma(5/6)/gamma(1/6)); d=0; for (n=0, 1000, write("b159671.txt", n, " ", x[n+1])); }
CROSSREFS
Sequence in context: A111142 A179626 A174965 * A094853 A096937 A097527
KEYWORD
nonn
AUTHOR
Harry J. Smith, Apr 19 2009
STATUS
approved