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 A371136 #7 Mar 12 2024 02:47:20
%S A371136 2,1,2,5,0,2,1,5,6,6,5,9,7,6,5,3,5,5,4,1,7,5,2,9,3,4,9,2,3,5,2,3,7,9,
%T A371136 9,1,7,9,3,6,2,5,7,9,7,4,2,3,0,0,2,1,9,7,8,5,6,1,8,9,5,3,1,6,4,2,1,3,
%U A371136 6,2,1,8,0,7,4,2,0,4,9,7,9,0,6,8,7,3,2,2,5,5,0,4,2,4,8,2,3,0,0,7,2,2,8,7,8
%N A371136 Decimal expansion of Sum_{k>=1} 1/Fibonacci(k!).
%C A371136 Nyblom (2000) proved that this constant is transcendental.
%H A371136 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 A371136 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A371136 Equals Sum_{k>=1} 1/A063374(k).
%e A371136 2.12502156659765355417529349235237991793625797423002...
%t A371136 RealDigits[Sum[1/Fibonacci[k!], {k, 1, 10}], 10, 120][[1]]
%o A371136 (PARI) suminf(k = 1, 1/fibonacci(k!))
%Y A371136 Cf. A000045, A000142, A063374, A343202, A371137.
%K A371136 nonn,cons
%O A371136 1,1
%A A371136 _Amiram Eldar_, Mar 12 2024