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 A371322 #6 Mar 19 2024 10:28:45
%S A371322 7,6,5,6,2,6,3,4,7,9,1,2,3,5,3,3,4,7,1,3,5,9,5,5,8,3,7,4,4,0,0,1,4,6,
%T A371322 3,2,9,6,0,0,0,7,7,1,6,6,2,9,1,2,5,7,2,9,9,6,3,2,5,4,5,3,5,7,4,6,5,1,
%U A371322 8,1,5,4,7,5,9,6,4,5,2,3,2,6,3,2,5,4,6,8,0,7,6,1,6,5,7,9,7,2,1,7,3,6,4,2,3
%N A371322 Decimal expansion of Sum_{k>=1} 1/(2^k * Fibonacci(k!)).
%C A371322 The transcendence of this constant was proved by Nyblom (2001).
%H A371322 M. A. Nyblom, <a href="https://doi.org/10.1006/jnth.2001.2672">A Theorem on Transcendence of Infinite Series II</a>, Journal of Number Theory, Vol. 91, No. 1 (2001), pp. 71-80.
%H A371322 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A371322 0.76562634791235334713595583744001463296000771662912...
%t A371322 RealDigits[Sum[1/(2^k * Fibonacci[k!]), {k, 1, 10}], 10, 120][[1]]
%o A371322 (PARI) suminf(k = 1, 1/(2^k * fibonacci(k!)))
%Y A371322 Cf. A000045, A000142, A063374, A343202, A371323, A371324, A371325.
%K A371322 nonn,cons
%O A371322 0,1
%A A371322 _Amiram Eldar_, Mar 19 2024