A265306 Decimal expansion of Sum_{k>=1} (e-c(2k-1)), where c = convergents to e.

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

Offset

0,1

Links

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

Example

sum = 0.77422858920821962055293396894059363837243763724297...

Mathematica

x = E; 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]]  (* A265306 *)
RealDigits[s2, 10, 120][[1]]  (* A265307 *)
RealDigits[s1 + s2, 10, 120][[1]](* A265308 *)

Crossrefs

Cf. A001113, A265306, A265307, A265288 (guide).

Sequence in context: A097903 A221566 A064619 * A198544 A353127 A247274

Adjacent sequences: A265303 A265304 A265305 * A265307 A265308 A265309

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2015

Status

approved