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.
%I A371137 #6 Mar 12 2024 02:47:04
%S A371137 1,3,8,8,8,9,8,5,3,3,7,6,4,5,6,6,4,4,1,4,0,5,2,3,7,0,3,6,6,2,3,2,6,0,
%T A371137 8,4,9,7,3,8,4,9,4,5,4,0,4,3,3,5,2,2,1,5,1,7,2,0,3,5,2,3,9,1,6,4,4,3,
%U A371137 3,3,1,6,6,3,2,3,3,6,8,4,2,0,2,3,7,8,1,3,2,7,2,2,5,9,9,1,8,8,2,9,8,5,0,1,6
%N A371137 Decimal expansion of Sum_{k>=1} 1/Lucas(k!).
%C A371137 Nyblom (2000) proved that this constant is transcendental.
%H A371137 M. A. Nyblom, <a href="https://doi.org/10.1216/rmjm/1021477261">A theorem on transcendence of infinite series</a>, The Rocky Mountain Journal of Mathematics, Vol. 30, No. 3 (2000), pp. 1111-1120; <a href="https://www.jstor.org/stable/44238526">alternative link</a>.
%H A371137 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A371137 Equals Sum_{k>=1} 1/A101293(k).
%e A371137 1.38889853376456644140523703662326084973849454043352...
%t A371137 RealDigits[Sum[1/LucasL[k!], {k, 1, 10}], 10, 120][[1]]
%o A371137 (PARI) suminf(k = 1, 1/(fibonacci(k!-1)+fibonacci(k!+1)))
%Y A371137 Cf. A000032, A000142, A101293, A343202, A371136.
%K A371137 nonn,cons
%O A371137 1,2
%A A371137 _Amiram Eldar_, Mar 12 2024