login
A265300
Decimal expansion of Sum_{k>=1} (x-c(2k-1)), where c = convergents to (x = sqrt(6)).
4
4, 5, 4, 5, 8, 7, 1, 1, 3, 0, 6, 5, 0, 7, 2, 4, 7, 4, 9, 9, 8, 9, 7, 8, 3, 3, 0, 8, 0, 9, 5, 4, 3, 0, 1, 3, 3, 2, 5, 0, 8, 5, 3, 9, 7, 8, 3, 5, 3, 3, 9, 5, 4, 2, 6, 8, 1, 3, 8, 8, 7, 2, 6, 3, 3, 6, 6, 4, 0, 3, 9, 0, 4, 6, 5, 0, 4, 3, 5, 4, 0, 9, 4, 4, 5, 5
OFFSET
0,1
EXAMPLE
sum = 0.454587113065072474998978330809543013325085397...
MATHEMATICA
x = Sqrt[6]; z = 600; c = Convergents[x, z];
s1 = Sum[x - c[[2 k - 1]], {k, 1, z/2}]; N[s1, 200]
s2 = Sum[c[[2 k]] - x, {k, 1, z/2}]; N[s2, 200]
N[s1 + s2, 200]
RealDigits[s1, 10, 120][[1]] (* A265300 *)
RealDigits[s2, 10, 120][[1]] (* A265301 *)
RealDigits[s1 + s2, 10, 120][[1]](* A265302 *)
CROSSREFS
Cf. A010464, A265301, A265302, A265288 (guide).
Sequence in context: A276868 A182495 A372447 * A223170 A303275 A198817
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 13 2015
STATUS
approved