|
|
A206099
|
|
Decimal expansion of the constant that satisfies gamma(x) = sqrt(Pi) and x > 1/2.
|
|
1
|
|
|
2, 8, 6, 5, 1, 4, 9, 6, 6, 4, 9, 7, 6, 4, 7, 3, 4, 2, 7, 4, 8, 8, 5, 5, 5, 4, 2, 2, 7, 0, 3, 7, 0, 9, 6, 4, 1, 2, 5, 1, 1, 0, 9, 6, 0, 6, 2, 5, 2, 8, 6, 9, 5, 6, 5, 1, 8, 7, 1, 0, 2, 3, 2, 3, 9, 5, 1, 5, 5, 5, 3, 8, 7, 1, 0, 2, 6, 2, 8, 6, 1, 5, 1, 4, 1, 2, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Note that gamma(1/2) = sqrt(Pi).
|
|
LINKS
|
|
|
EXAMPLE
|
c = 2.8651496649764734274885554227037096412511096062528695651871... such that gamma(c) = gamma(1/2) = sqrt(Pi) = 1.772453850905516027298...
|
|
MATHEMATICA
|
RealDigits[x/.FindRoot[Gamma[x]==Sqrt[Pi], {x, 3}, WorkingPrecision-> 120]] [[1]] (* Harvey P. Dale, Aug 08 2019 *)
|
|
PROG
|
(PARI) {a(n)=local(c=solve(x=0.51, 2.9, gamma(x)-sqrt(Pi))); floor(10^n*c)%10}
for(n=0, 120, print1(a(n), ", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|