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.

A343202 Decimal expansion of Sum_{k>=0} 1/(k! * Fibonacci(2^k)).

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%I A343202 #10 Jul 08 2021 02:48:44
%S A343202 2,1,7,4,6,4,5,3,9,3,8,9,6,5,1,9,5,5,6,4,4,3,3,3,7,9,2,5,2,2,9,8,2,1,
%T A343202 8,8,9,7,1,6,6,8,1,7,4,5,5,2,8,3,8,7,6,9,5,2,6,0,7,1,0,8,9,2,9,5,1,9,
%U A343202 2,9,9,5,9,7,2,9,6,1,8,8,9,8,5,1,4,0,8,5,5,1,9,6,9,6,3,1,3,7,0,0
%N A343202 Decimal expansion of Sum_{k>=0} 1/(k! * Fibonacci(2^k)).
%C A343202 The transcendence of this constant was proved independently by Mignotte (1974) and Mahler (1975).
%D A343202 Maurice Mignotte, Quelques problèmes d'effectivité en théorie des nombres, Thesis, Univ. Paris XIII, Paris, 1974.
%H A343202 Kurt Mahler, <a href="https://doi.org/10.1017/S0004972700024643">On the transcendency of the solutions of a special class of functional equations</a>, Bulletin of the Australian Mathematical Society, Vol. 13, No. 3 (1975), pp. 389-410.
%e A343202 2.17464539389651955644333792522982188971668174552838...
%t A343202 RealDigits[Sum[1/(n!*Fibonacci[2^n]), {n, 0, 20}], 10, 100][[1]]
%o A343202 (PARI) suminf(k=0, 1/(k!*fibonacci(2^k))) \\ _Michel Marcus_, Jul 07 2021
%Y A343202 Cf. A000045, A000142, A058635, A079585.
%K A343202 nonn,cons
%O A343202 1,1
%A A343202 _Amiram Eldar_, Jul 07 2021