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.

A371648 Decimal expansion of Product_{k>=0} (1 + 1/Fibonacci(5^k)).

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%I A371648 #6 Jan 05 2025 19:51:42
%S A371648 2,4,0,0,0,3,1,9,8,9,3,3,6,8,8,7,7,0,4,0,9,8,6,3,3,8,2,9,1,2,4,5,9,0,
%T A371648 4,4,8,8,5,5,4,9,7,8,3,1,9,3,3,8,7,6,7,8,8,4,2,5,9,6,1,1,5,6,8,7,9,3,
%U A371648 5,0,3,7,9,0,2,9,3,0,1,3,9,6,1,0,0,0,6,4,3,0,2,5,1,3,1,8,3,6,0,7,8,0,0,4,1
%N A371648 Decimal expansion of Product_{k>=0} (1 + 1/Fibonacci(5^k)).
%C A371648 This constant is a transcendental number (Nyblom, 2004).
%H A371648 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 A371648 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A371648 Equals Product_{k>=0} (1 + 1/A145232(k)).
%e A371648 2.40003198933688770409863382912459044885549783193387...
%t A371648 RealDigits[Product[1 + 1/Fibonacci[5^k], {k, 0, 10}], 10, 120][[1]]
%o A371648 (PARI) prodinf(k = 0, 1 + 1/fibonacci(5^k))
%Y A371648 Cf. A000045, A145232, A371647.
%Y A371648 Similar constants: A337668, A337669, A371650.
%K A371648 nonn,cons
%O A371648 1,1
%A A371648 _Amiram Eldar_, Mar 31 2024