A265308 Decimal expansion of Sum_{k>=1} (c(2k)-c(2k-1)), where c = convergents to e.

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

Offset

1,3

Links

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

Example

sum = 1.0881628951926320258095299765374284161730153...

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: A021923 A296496 A065465 * A375153 A377303 A319858

Adjacent sequences: A265305 A265306 A265307 * A265309 A265310 A265311

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2015

Status

approved