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.

A123092 Decimal expansion of Sum_{k>=1} 1/((2k-1)^2(2k+1)^2) = (Pi^2-8)/16.

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%I A123092 #18 Mar 29 2025 15:30:59
%S A123092 1,1,6,8,5,0,2,7,5,0,6,8,0,8,4,9,1,3,6,7,7,1,5,5,6,8,7,4,9,2,2,5,9,4,
%T A123092 4,5,9,5,7,1,0,6,2,1,2,9,5,2,5,4,9,4,1,4,1,5,0,8,3,4,3,3,6,0,1,3,7,5,
%U A123092 2,8,0,1,4,0,1,2,0,0,3,2,7,6,8,7,6,1,0,8,3,7,7,3,2,4,0,9,5,1,4,4,8,9,0,0,1
%N A123092 Decimal expansion of Sum_{k>=1} 1/((2k-1)^2(2k+1)^2) = (Pi^2-8)/16.
%D A123092 Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley and Sons, Inc., NJ, 2006, page 506.
%H A123092 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A123092 Equals (A111003-1)/2. - _Hugo Pfoertner_, Aug 20 2024
%F A123092 Equals Sum_{k>=1} 1/(4*k^2-1)^2. - _Sean A. Irvine_, Mar 29 2025
%e A123092 0.116850275068084913677155687492259445957106212952549414150834336...
%t A123092 RealDigits[Sum[1/((2k - 1)^2(2k + 1)^2), {k, Infinity}], 10, 111][[1]]
%o A123092 (PARI) (Pi^2-8)/16 \\ _Charles R Greathouse IV_, Sep 30 2022
%Y A123092 Cf. A000796, A002388, A069075, A111003.
%Y A123092 Cf. A248895, A248896.
%K A123092 cons,nonn
%O A123092 0,3
%A A123092 _Robert G. Wilson v_, Sep 27 2006