A265307 Decimal expansion of Sum_{k>=1} (c(2k)-e), where c = convergents to e.

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

Offset

0,1

Links

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

Example

sum = 0.3139343059844124052565960075968347778005777...

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, A265308, A265288 (guide).

Sequence in context: A350562 A164308 A082511 * A133579 A088442 A037095

Adjacent sequences: A265304 A265305 A265306 * A265308 A265309 A265310

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2015

Status

approved