|
|
A359106
|
|
Decimal expansion of Integral_{x=0..1} ([1/x]^(-1) + {1/x}) dx, where [x] denotes the integer part of x and {x} the fractional part of x.
|
|
0
|
|
|
1, 0, 6, 7, 7, 1, 8, 4, 0, 1, 9, 4, 6, 6, 9, 3, 5, 7, 5, 8, 6, 5, 9, 0, 3, 0, 7, 6, 5, 6, 3, 6, 2, 2, 7, 5, 8, 1, 7, 6, 7, 9, 0, 5, 6, 5, 2, 6, 6, 8, 7, 4, 8, 3, 8, 9, 2, 9, 7, 9, 0, 9, 9, 4, 4, 8, 5, 1, 3, 9, 7, 4, 3, 6, 2, 5, 5, 3, 6, 2, 0, 2, 8, 9, 6, 6, 8, 1, 8, 3, 7, 3, 2, 8, 0
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
Vincent Pantaloni, Solution, Missouri State University’s Advanced Problem of February 2010.
|
|
FORMULA
|
Equals Pi^2/6 - gamma.
Equals zeta(2) - gamma.
|
|
EXAMPLE
|
1.06771840194669357586590307656362275817679...
|
|
MAPLE
|
Digits := 110: evalf(Pi^2/6 - gamma, Digits)*10^94:
ListTools:-Reverse(convert(floor(%), base, 10));
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|