A265300 Decimal expansion of Sum_{k>=1} (x-c(2k-1)), where c = convergents to (x = sqrt(6)).

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

Links

Table of n, a(n) for n=0..85.

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: A245078 A276868 A182495 * A223170 A303275 A198817

Adjacent sequences: A265297 A265298 A265299 * A265301 A265302 A265303

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2015

Status

approved