|
|
A369880
|
|
Decimal expansion of sinh(Pi/2)/(Pi/2)^2.
|
|
1
|
|
|
9, 3, 2, 6, 8, 1, 3, 1, 4, 7, 8, 6, 3, 5, 1, 0, 1, 7, 7, 7, 3, 6, 9, 7, 5, 5, 7, 8, 0, 7, 9, 9, 0, 2, 3, 5, 0, 6, 6, 1, 9, 2, 0, 9, 3, 8, 7, 6, 9, 7, 5, 3, 1, 5, 4, 5, 6, 3, 4, 1, 2, 6, 4, 4, 0, 3, 1, 5, 6, 8, 4, 7, 9, 2, 1, 1, 6, 4, 4, 1, 1, 3, 9, 5, 6, 1, 9, 6, 2, 2, 8, 8, 5, 3, 9, 6, 5, 3, 8, 7, 4, 1, 7, 7, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
REFERENCES
|
József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, Chapter 4, p. 424.
|
|
LINKS
|
|
|
FORMULA
|
Equals Sum_{k>=0} (-1/16)^A000120(k)/D(k)^4, where D(k) = A096111(k-1) for k >= 1, and D(0) = 1 (Borwein and Borwein, 1992).
|
|
EXAMPLE
|
0.93268131478635101777369755780799023506619209387697...
|
|
MATHEMATICA
|
RealDigits[Sinh[Pi/2]/(Pi/2)^2, 10, 120][[1]]
|
|
PROG
|
(PARI) sinh(Pi/2)/(Pi/2)^2
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|