|
| |
|
|
A196554
|
|
Decimal expansion of sum_{i>=0} 1/((8*i+1)*(8*i+5)).
|
|
1
|
|
|
|
2, 1, 6, 7, 4, 3, 2, 4, 6, 8, 3, 4, 9, 7, 7, 7, 5, 9, 3, 9, 3, 4, 9, 8, 7, 9, 0, 9, 7, 0, 7, 1, 7, 6, 7, 8, 4, 1, 3, 0, 4, 3, 8, 4, 1, 8, 3, 6, 3, 1, 1, 2, 2, 6, 0, 8, 3, 7, 5, 7, 9, 5, 9, 7, 2, 9, 4, 0, 9, 8, 3, 7, 8, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
Jolley, Summation of Series, Dover (1961) eq. 266 page 48.
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
|
|
|
FORMULA
|
equals sqrt(2)*( Pi+log(3+2^(3/2)) )/32.
|
|
|
EXAMPLE
|
0.21674324683497 = 1/5 + 1/117 + 1/357 + 1/725 + 1/1221 + 1/1845 + ...
|
|
|
MAPLE
|
sqrt(2)/32*(Pi+log(3+2*sqrt(2))) ; evalf(%) ;
|
|
|
MATHEMATICA
|
RealDigits[(Sqrt[2]/32)(Pi + Log[3 + 2 Sqrt[2]]), 10, 74][[1]] (* Bruno Berselli, Dec 20 2011 *)
|
|
|
CROSSREFS
|
Sequence in context: A192329 A059364 A217922 * A160348 A047708 A182883
Adjacent sequences: A196551 A196552 A196553 * A196555 A196556 A196557
|
|
|
KEYWORD
|
cons,easy,nonn
|
|
|
AUTHOR
|
R. J. Mathar, Oct 03 2011
|
|
|
STATUS
|
approved
|
| |
|
|
