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A342875 Decimal expansion of 3*log(phi)/Pi^2, where phi is the golden ratio. 0

%I #5 Mar 28 2021 12:05:40

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

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

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

%N Decimal expansion of 3*log(phi)/Pi^2, where phi is the golden ratio.

%H Yuri V. Matiyasevich and Richard K. Guy, <a href="https://doi.org/10.1080/00029890.1986.11971904">A new formula for Pi</a>, The American Mathematical Monthly, Vol 93, No. 8 (1986), pp. 631-635.

%H Carlo Sanna, <a href="https://arxiv.org/abs/2103.07967">On the least common multiple of shifted powers</a>, arXiv:2103.07967 [math.NT], 2021.

%e 0.1462708550931857943377369704926...

%t First[RealDigits[N[3Log[(1+Sqrt[5])/2]/Pi^2,87]]]

%Y Cf. A000796, A001622, A002388, A002390, A003266, A035105.

%K nonn,cons

%O 0,2

%A _Stefano Spezia_, Mar 28 2021

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Last modified July 28 15:17 EDT 2024. Contains 374698 sequences. (Running on oeis4.)