|
|
A345204
|
|
Decimal expansion of 5/4 + Pi^2/8 + zeta(3).
|
|
1
|
|
|
3, 6, 8, 5, 7, 5, 7, 4, 5, 3, 2, 9, 5, 7, 6, 4, 1, 1, 2, 7, 5, 4, 0, 4, 9, 5, 3, 6, 4, 9, 5, 9, 6, 8, 8, 8, 2, 6, 7, 9, 1, 9, 8, 7, 1, 8, 2, 4, 5, 5, 9, 7, 7, 1, 0, 0, 9, 3, 9, 4, 0, 2, 2, 7, 3, 6, 9, 3, 4, 3, 8, 0, 8, 5, 8, 8, 7, 1, 3, 7, 4, 5, 5, 6, 1, 6, 7
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
Equals Sum_{k>=1} H(k)*H(k+2)/(k*(k+2)), where H(k) = A001008(k)/A002805(k) is the k-th harmonic number (Furdui, 2011).
|
|
EXAMPLE
|
3.68575745329576411275404953649596888267919871824559...
|
|
MATHEMATICA
|
RealDigits[5/4 + Pi^2/8 + Zeta[3], 10, 100][[1]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|