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A185280 Decimal expansion of a constant appearing in the solution of Polya's 2D drunkard problem. 2

%I #18 Jul 12 2021 14:41:42

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

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

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

%N Decimal expansion of a constant appearing in the solution of Polya's 2D drunkard problem.

%H P. Flajolet and R. Sedgewick, <a href="http://algo.inria.fr/flajolet/Publications/books.html">Analytic Combinatorics</a>, 2009; p. 425-426.

%F 1 + Sum_{n>=1} binomial(2*n, n)^2/16^n - 1/(Pi*n).

%F Equals 1 + (4*log(2) - Pi)/Pi.

%F Equals 4*log(2)/Pi. - _Michel Marcus_, Jul 28 2016

%e 0.882542400610606373585825728471990763930758994918621881957052934828487068186...

%t 1+(4*Log[2]-Pi)/Pi // N[#, 100]& // RealDigits // First

%o (PARI) 4*log(2)/Pi \\ _Michel Marcus_, Jul 28 2016

%Y Cf. A016639.

%K nonn,cons,easy

%O 0,1

%A _Jean-François Alcover_, Apr 23 2013

%E a(99) corrected by _Georg Fischer_, Jul 12 2021

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Last modified August 11 18:47 EDT 2024. Contains 375073 sequences. (Running on oeis4.)