|
|
A355674
|
|
Decimal expansion of 1351/780.
|
|
1
|
|
|
1, 7, 3, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2, 0, 5, 1, 2, 8, 2
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
This constant is the greater limit to the value of sqrt(3) used by Archimedes in the calculation of Pi.
|
|
REFERENCES
|
Ernst Sondheimer and Alan Rogerson, Numbers and Infinity, Cambridge University Press, 1981, p. 97.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n > 8.
G.f.: x*(-5*x^7 + 10*x^6 - 10*x^5 + 5*x^4 - 5*x^3 + 3*x^2 - 6*x - 1)/((x - 1)*(x^2 - x + 1)*(x^2 + x + 1)). (End)
|
|
EXAMPLE
|
1.732051282051282051282051282051282051282...
|
|
MATHEMATICA
|
First[RealDigits[N[1351/780, 88]]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|