A248896 Decimal expansion of Sum_{i >= 1} 1/(4*i^2-1)^4.

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

Table of n, a(n) for n=0..92.

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

Adjacent sequences: A248893 A248894 A248895 * A248897 A248898 A248899

Keyword

nonn,cons

Author

Bruno Berselli, Mar 06 2015

Status

approved