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 A371650 #7 Jan 05 2025 19:51:42
%S A371650 2,1,8,1,8,3,1,1,8,7,3,3,3,0,6,2,0,2,3,8,4,2,3,6,0,1,7,0,5,5,6,7,6,1,
%T A371650 0,6,7,8,0,2,4,3,5,6,4,6,9,5,7,9,6,9,2,4,1,3,1,7,0,3,2,2,5,2,9,1,3,8,
%U A371650 0,9,1,2,6,4,3,6,0,1,6,1,9,9,2,4,7,4,9,2,0,7,3,4,0,6,4,4,1,6,0,3,5,5,7,5,0,0,2
%N A371650 Decimal expansion of Product_{k>=0} (1 + 1/Lucas(5^k)).
%C A371650 This constant is a transcendental number (Nyblom, 2004).
%H A371650 M. A. Nyblom, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/42-4/quartnyblom04_2004.pdf">On the Construction of a Family of Transcendental Valued Infinite Products</a>, Fibonacci Quarterly, Vol. 42, No. 4 (2004), pp. 353-358.
%H A371650 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A371650 Equals Product_{k>=0} (1 + 1/A144837(k)).
%e A371650 2.18183118733306202384236017055676106780243564695796...
%t A371650 RealDigits[Product[1 + 1/LucasL[5^k], {k, 0, 10}], 10, 120][[1]]
%o A371650 (PARI) prodinf(k = 0, 1 + 1/(fibonacci(5^k-1) + fibonacci(5^k+1)))
%Y A371650 Cf. A000032, A144837, A371649.
%Y A371650 Similar constants: A371525, A371526, A371648.
%K A371650 nonn,cons
%O A371650 1,1
%A A371650 _Amiram Eldar_, Mar 31 2024