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.

A101689 Decimal expansion of the unique real number x whose Engel expansion is the Fibonacci sequence.

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%I A101689 #17 Feb 23 2024 07:33:25
%S A101689 2,7,0,4,5,0,2,8,9,9,1,5,4,0,6,7,4,8,7,1,9,7,5,4,8,9,6,6,1,8,1,8,7,9,
%T A101689 7,8,5,1,7,7,8,3,4,8,3,1,3,6,0,6,2,8,1,6,9,2,1,6,1,4,7,1,7,9,7,0,5,7,
%U A101689 9,7,4,3,2,7,7,3,3,8,2,7,7,3,0,0,3,7,3,4,8,9,3,2,4,6,4,7,5,8,1,1,9,4
%N A101689 Decimal expansion of the unique real number x whose Engel expansion is the Fibonacci sequence.
%F A101689 x = Sum_{n >= 1} 1/(Product_{1 <= i <= n} F(i)), where F(i) is the i-th Fibonacci number.
%e A101689 x = 2.70450289915406748719754896618187978517783483136...
%t A101689 N[Sum[1/Product[Fibonacci[i], {i, n}], {n, 300}], 100]
%o A101689 (PARI) suminf(n=1, 1/prod(i=1, n, fibonacci(i))) \\ _Michel Marcus_, Nov 28 2020
%Y A101689 Cf. A000045, A137991 (reciprocal).
%K A101689 cons,nonn
%O A101689 1,1
%A A101689 _Ryan Propper_, Dec 11 2004