|
|
A257775
|
|
Decimal expansion of (e/2)^2.
|
|
4
|
|
|
1, 8, 4, 7, 2, 6, 4, 0, 2, 4, 7, 3, 2, 6, 6, 2, 5, 5, 6, 8, 0, 7, 6, 0, 6, 8, 6, 5, 1, 4, 3, 7, 5, 1, 9, 5, 3, 2, 9, 5, 0, 7, 8, 8, 9, 2, 6, 3, 7, 9, 6, 1, 8, 3, 1, 0, 2, 1, 7, 8, 1, 9, 5, 5, 6, 3, 0, 6, 4, 3, 4, 4, 9, 0, 1, 9, 7, 6, 4, 4, 4, 0, 8, 4, 6, 0, 7, 8, 1, 2, 1, 2, 6, 9, 7, 8, 0, 4, 4, 8, 6, 9, 3, 4, 3
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
The coefficient a of the unique parabola y = a*x^2 which, at some x > 0, kisses the exponential function y = exp(x). The kissing point coordinates are (2,e^2).
|
|
LINKS
|
|
|
EXAMPLE
|
1.847264024732662556807606865143751953295078892637961831021781955630...
|
|
MATHEMATICA
|
RealDigits[Exp[2]/4, 10, 120][[1]] (* Amiram Eldar, Jun 26 2023 *)
|
|
PROG
|
(PARI) exp(2)/4
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|