A114609 Decimal expansion of Sum_{k=-infinity..+infinity} log(2)/(2^(-k/2) + 2^(k/2)).

3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 9, 5, 1, 8, 2, 3, 8, 3, 2, 8, 8, 4, 2, 3, 9, 5, 1, 3, 3, 7, 1, 9, 5, 7, 4, 6, 4, 7, 4, 3, 0, 2, 5, 6, 3, 7, 8, 1, 8, 2, 2, 2, 9, 2, 9, 0, 4, 4, 4, 3, 1, 7, 2, 5, 0, 9, 1, 3, 0, 3, 0, 4, 8, 2, 7, 0, 4, 2, 4, 1, 7, 6, 1, 0, 1, 2, 3, 7, 5, 1, 5, 3, 5, 6, 7, 5, 8, 5, 1, 1, 9

Offset

0,1

Comments

Differs from Pi by 5.3*10^-12.

Links

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Almost Integer

Example

3.14159265359518238328842...

Mathematica

almostPi = Log[2]/2 + 2*Log[2]*NSum[1/(2^(-k/2) + 2^(k/2)), {k, 1, Infinity}, WorkingPrecision -> 110, NSumTerms -> 100]; RealDigits[almostPi, 10, 102] // First (* Jean-François Alcover, Feb 07 2013 *)

Crossrefs

Sequence in context: A112602 A000796 A212131 * A271452 A339264 A068089

Adjacent sequences: A114606 A114607 A114608 * A114610 A114611 A114612

Keyword

nonn,cons

Author

Eric W. Weisstein, Dec 15 2005

Status

approved