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A265297 Decimal expansion of sum{x - c(2n-1), n=1,2,...}, where c = convergents to (x = sqrt(5)). 4
2, 3, 6, 8, 4, 4, 2, 4, 8, 5, 7, 0, 1, 4, 8, 1, 8, 7, 5, 9, 5, 3, 8, 0, 1, 7, 8, 2, 2, 9, 9, 0, 1, 1, 9, 4, 7, 6, 0, 9, 8, 0, 4, 2, 0, 1, 8, 2, 7, 4, 6, 3, 5, 3, 4, 6, 5, 2, 3, 3, 3, 3, 0, 8, 9, 6, 9, 1, 8, 8, 7, 4, 4, 3, 0, 3, 6, 3, 8, 2, 0, 4, 5, 1, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

EXAMPLE

sum = 0.236844248570148187595380178229901194760980420...

MATHEMATICA

x = Sqrt[5]; 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]]  (* A265297 *)

RealDigits[s2, 10, 120][[1]]  (* A265298 *)

RealDigits[s1 + s2, 10, 120][[1]](* A265299 *)

CROSSREFS

Cf. A002163, A265298, A265299, A265288 (guide).

Sequence in context: A088414 A133441 A086254 * A140266 A140265 A191453

Adjacent sequences:  A265294 A265295 A265296 * A265298 A265299 A265300

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 07 2015

STATUS

approved

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Last modified December 12 23:01 EST 2018. Contains 318081 sequences. (Running on oeis4.)