A265305 Decimal expansion of Sum_{k>=1} (c(2k)-c(2k-1)), where c = convergents to sqrt(8).

1, 0, 3, 4, 3, 4, 8, 4, 4, 0, 4, 4, 1, 3, 4, 3, 7, 7, 2, 4, 3, 9, 9, 2, 8, 7, 0, 4, 6, 7, 7, 3, 3, 8, 4, 7, 2, 2, 1, 1, 0, 4, 2, 7, 1, 4, 6, 9, 9, 9, 4, 2, 1, 0, 7, 0, 9, 4, 3, 8, 3, 3, 2, 7, 4, 7, 4, 3, 7, 9, 7, 1, 7, 6, 4, 6, 6, 0, 6, 1, 7, 0, 5, 9, 3, 1

Offset

1,3

Links

Table of n, a(n) for n=1..86.

Example

sum = 1.0343484404413437724399287046773384722110427146999...

Mathematica

x = Sqrt[8]; 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]]  (* A265303 *)
RealDigits[s2, 10, 120][[1]]  (* A265304 *)
RealDigits[s1 + s2, 10, 120][[1]](* A265305 *)

Crossrefs

Cf. A010466, A265303, A265304, A265288 (guide).

Sequence in context: A006984 A361458 A087275 * A072942 A025267 A223169

Adjacent sequences: A265302 A265303 A265304 * A265306 A265307 A265308

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2015

Status

approved