login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A265305 Decimal expansion of Sum_{k>=1} (c(2k)-c(2k-1)), where c = convergents to sqrt(8). 4
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A178152 A006984 A087275 * A072942 A025267 A223169

Adjacent sequences:  A265302 A265303 A265304 * A265306 A265307 A265308

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 13 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 5 19:31 EDT 2021. Contains 346488 sequences. (Running on oeis4.)