login
A248896
Decimal expansion of Sum_{i >= 1} 1/(4*i^2-1)^4.
1
0, 1, 2, 3, 6, 6, 1, 7, 5, 8, 6, 8, 0, 7, 7, 0, 7, 7, 8, 6, 6, 5, 0, 3, 9, 8, 7, 8, 7, 1, 0, 8, 0, 2, 6, 7, 3, 2, 9, 6, 0, 7, 5, 1, 0, 2, 7, 3, 3, 1, 9, 1, 9, 3, 3, 3, 8, 3, 7, 0, 2, 3, 5, 2, 5, 5, 9, 5, 3, 3, 8, 5, 5, 8, 5, 1, 6, 0, 6, 1, 6, 5, 1, 0, 6, 4, 4, 6, 2, 1, 5, 4, 4
OFFSET
0,3
LINKS
Xavier Gourdon and Pascal Sebah, Collection of series for Pi (see paragraph 7).
FORMULA
Equals (Pi^4 + 30*Pi^2 - 384)/768.
EXAMPLE
0.0123661758680770778665039878710802673296075102733191933383702352559...
MATHEMATICA
Join[{0}, RealDigits[(Pi^4 + 30 Pi^2 - 384)/768, 10, 100][[1]]]
CROSSREFS
Cf. A123092: Sum_{i >= 1} 1/(4*i^2-1)^2.
Cf. A248895: Sum_{i >= 1} 1/(4*i^2-1)^3.
Sequence in context: A084678 A221020 A333304 * A102402 A246129 A359123
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Mar 06 2015
STATUS
approved