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A265308
Decimal expansion of Sum_{k>=1} (c(2k)-c(2k-1)), where c = convergents to e.
4
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
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 13 2015
STATUS
approved