|
|
A265298
|
|
Decimal expansion of sum{c(2n) - x, n=1,2,...}, where c = convergents to (x = sqrt(5)).
|
|
4
|
|
|
0, 1, 3, 9, 7, 5, 2, 9, 0, 4, 8, 4, 1, 6, 0, 6, 9, 4, 6, 3, 0, 4, 3, 1, 9, 3, 7, 0, 2, 8, 4, 6, 9, 2, 8, 1, 3, 5, 3, 8, 0, 0, 2, 5, 5, 6, 4, 1, 8, 4, 2, 4, 2, 7, 3, 4, 1, 7, 9, 8, 4, 7, 0, 7, 1, 5, 1, 8, 7, 0, 8, 2, 4, 8, 3, 8, 8, 2, 4, 0, 8, 6, 3, 3, 5, 8
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
EXAMPLE
|
sum = 0.01397529048416069463043193702846928135380025564...
|
|
MATHEMATICA
|
x = Sqrt[5]; 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]] (* A265297 *)
RealDigits[s2, 10, 120][[1]] (* A265298 *)
RealDigits[s1 + s2, 10, 120][[1]](* A265299 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|