login
A189037
Decimal expansion of (9-sqrt(17))/8.
1
6, 0, 9, 6, 1, 1, 7, 9, 6, 7, 9, 7, 7, 9, 2, 4, 3, 1, 2, 7, 2, 3, 2, 3, 7, 6, 8, 0, 0, 3, 2, 4, 0, 3, 7, 1, 8, 5, 6, 6, 0, 0, 0, 9, 6, 8, 2, 8, 2, 9, 7, 4, 4, 5, 7, 0, 0, 1, 7, 0, 8, 0, 3, 3, 6, 3, 1, 3, 0, 7, 0, 6, 7, 0, 7, 7, 9, 7, 3, 0, 0, 8, 0, 1, 5, 1, 7, 0, 4, 3, 6, 4, 8, 6, 6, 4, 4, 6, 2, 9, 1, 4, 4, 3, 1, 9, 9, 4, 8, 8, 2, 5, 9, 8, 2, 3, 2, 2, 9, 8, 0, 8, 7, 3, 2, 2, 3, 9, 4, 9
OFFSET
0,1
COMMENTS
Decimal expansion of the shape (= length/width = ((9-sqrt(17))/8) of the lesser (9/4)-contraction rectangle.
See A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes.
EXAMPLE
0.60961179679779243127232376800324037185660009...
MATHEMATICA
r = 9/4; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t]
N[t, 130]
RealDigits[N[t, 130]][[1]]
ContinuedFraction[t, 120]
RealDigits[(9-Sqrt[17])/8, 10, 150][[1]] (* Harvey P. Dale, Jan 30 2019 *)
CROSSREFS
Cf. A188738.
Sequence in context: A200124 A016628 A112246 * A153201 A248725 A118178
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Apr 15 2011
STATUS
approved