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A265304 Decimal expansion of Sum_{k>=1} c(2k), where c = convergents to (x = sqrt(8)). 4
1, 7, 6, 6, 2, 7, 7, 6, 4, 3, 0, 5, 1, 5, 1, 8, 0, 6, 4, 3, 5, 7, 0, 5, 9, 6, 9, 4, 5, 0, 7, 9, 3, 8, 5, 7, 7, 3, 1, 8, 3, 9, 1, 8, 4, 4, 4, 8, 7, 2, 5, 5, 5, 7, 7, 5, 7, 7, 7, 7, 4, 0, 7, 0, 2, 8, 2, 6, 5, 8, 5, 4, 9, 0, 5, 2, 7, 5, 4, 5, 2, 9, 4, 0, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

EXAMPLE

sum = 0.176627764305151806435705969450793857731839184448725557757777...

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, A265305, A265288 (guide).

Sequence in context: A059751 A019859 A188736 * A102769 A031348 A247674

Adjacent sequences:  A265301 A265302 A265303 * A265305 A265306 A265307

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 13 2015

STATUS

approved

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Last modified January 22 23:00 EST 2019. Contains 319365 sequences. (Running on oeis4.)