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A265307 Decimal expansion of Sum_{k>=1} (c(2k)-e), where c = convergents to e. 4
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

EXAMPLE

sum = 0.3139343059844124052565960075968347778005777...

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: A248830 A164308 A082511 * A133579 A088442 A037095

Adjacent sequences:  A265304 A265305 A265306 * A265308 A265309 A265310

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 13 2015

STATUS

approved

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Last modified November 16 03:09 EST 2018. Contains 317252 sequences. (Running on oeis4.)