|
|
A289848
|
|
Decimal expansion of the limiting ratio of consecutive terms of A289245.
|
|
2
|
|
|
2, 5, 1, 5, 4, 7, 6, 9, 1, 0, 7, 7, 2, 7, 2, 1, 7, 4, 6, 7, 2, 1, 4, 8, 8, 1, 2, 6, 4, 6, 7, 9, 1, 9, 4, 7, 7, 6, 7, 8, 6, 9, 4, 4, 1, 0, 4, 1, 2, 0, 4, 9, 6, 2, 6, 7, 1, 6, 0, 7, 2, 2, 8, 9, 9, 8, 5, 4, 6, 4, 0, 1, 6, 7, 8, 9, 4, 4, 9, 2, 4, 2, 7, 6, 6, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
2.5154769107727217467214881264679194776786944...
|
|
MATHEMATICA
|
z = 2000;
u = CoefficientList[Series[1/Sum[Floor[-1 + (1 + GoldenRatio)*(k + 1)] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A289245*)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289848 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|