cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A084243 Decimal expansion of c = Product_{k>=1} (1 + 1/k^2)^2.

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%I A084243 #20 Jan 04 2021 13:55:02
%S A084243 1,3,5,1,3,5,4,8,8,0,3,1,4,6,8,6,2,7,3,1,7,2,3,8,1,5,0,5,5,9,9,3,1,2,
%T A084243 0,7,8,2,9,6,2,6,1,4,3,2,7,9,7,8,1,7,9,9,9,6,2,2,5,3,7,9,9,1,7,6,0,8,
%U A084243 7,9,6,9,1,2,8,3,5,8,1,5,4,0,3,1,7,7,7,5,0,7,2,7,4,3,2,2,4,0,3,2,0,4,0,1,6
%N A084243 Decimal expansion of c = Product_{k>=1} (1 + 1/k^2)^2.
%D A084243 Bruce C. Berndt, Ramanujan Notebook part II, Integral and asymptotic expansions, Springer Verlag, p. 230, entry 27.
%F A084243 Equals (cosh(2*Pi)-1)/(2*Pi^2).
%F A084243 Equals (sinh(Pi)/Pi)^2. - _Bernard Schott_, Jan 04 2021
%e A084243 13.513548803146862731723815...
%t A084243 Sinh[Pi]^2/Pi^2 // RealDigits[#, 10, 105]& // First (* _Jean-François Alcover_, Mar 04 2013 *)
%o A084243 (PARI) (cosh(2*Pi)-1)/2/Pi^2
%K A084243 cons,nonn
%O A084243 2,2
%A A084243 _Benoit Cloitre_, Jun 21 2003