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Shlomi Fish committed 4411cf5

Add to Euler #137.

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project-euler/137/analysis.txt

+F[n] = 1/sqrt(5) * { [ (1 + sqrt(5)) / 2 ]^n - [ (1 - sqrt(5)) / 2 ] ^ n }
+
+$s = sqrt(5)
+
+Therefore:
+
+[ Given limits according to the |q| <= 1 ]
+
+A_F(x) = 1/$s * { x(1+$s)/2/[ 1 - x(1+$s)/2] - x(1-$s)/2/[1 - x(1-$s)/2] } =
+
+x/(2*$s) * { (1+$s)/[1 - x(1+$s)/2] - (1-$s)/[1 - x(1-$s)/2] } =
+
+x/(2*$s) * { 1/[1/(1+$s) - x/2] - 1/[1/(1-$s) - x/2] } =