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A308642 Decimal expansion of cosh(sqrt(13/3)*Pi/2)*sech(sqrt(5/3)*Pi/2). 3

%I #12 Jun 15 2019 16:13:18

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

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

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

%N Decimal expansion of cosh(sqrt(13/3)*Pi/2)*sech(sqrt(5/3)*Pi/2).

%F Equals Product_{k>=1} (1 + 1/(3*k*(k - 1)/2 + 1)).

%F Equals Product_{k>=1} (1 + 1/A005448(k)).

%e 3.4084379526884991250972568943042066986209221843076631...

%t RealDigits[Cosh[Sqrt[13/3] Pi/2] Sech[Sqrt[5/3] Pi/2], 10, 120][[1]]

%t RealDigits[Product[(1 + 1/(3 k (k - 1)/2 + 1)), {k, 1, Infinity}], 10, 120][[1]]

%Y Cf. A005448, A084248, A308666.

%K nonn,cons

%O 1,1

%A _Ilya Gutkovskiy_, Jun 15 2019

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)