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.

A264934 Decimal expansion of number with continued fraction expansion 0, 1, 11, 111, 1111, 11111 ... (the repunits).

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%I A264934 #15 Feb 16 2025 08:33:27
%S A264934 9,1,6,7,2,9,1,8,1,7,8,9,0,2,4,1,6,3,6,5,6,6,3,0,7,6,7,3,5,0,3,2,5,0,
%T A264934 1,8,9,5,1,7,5,8,9,9,9,6,2,1,9,4,2,7,2,2,9,8,1,6,3,9,6,0,2,2,4,2,6,8,
%U A264934 7,3,3,1,2,1,0,2,0,9,2,9,2,9,0,2,5,3,4,9,4,7,5,5,2,9,2,0,6,7,9,2,5,3,4,8,9,8,5,6,2
%N A264934 Decimal expansion of number with continued fraction expansion 0, 1, 11, 111, 1111, 11111 ... (the repunits).
%H A264934 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Repunit.html">Repunit</a>
%F A264934 Approximation: ~ -zeta(1/2) - sqrt(5)*exp(-sqrt(2)).
%e A264934 0.91672918178902416365663076735032501895175899962194272298… = 0 + 1/(1 + 1/(11 + 1/(111 + 1/(1111 + 1/(11111 + 1/(111111 + 1/(1111111 + 1/(11111111 + 1/...)))))))).
%t A264934 RealDigits@ N[FromContinuedFraction@ Prepend[Table[FromDigits@ Table[1, {n}], {n, 30}], 0], 110] // First (* _Michael De Vlieger_, Nov 28 2015 *)
%Y A264934 Cf. A002275.
%K A264934 nonn,cons
%O A264934 0,1
%A A264934 _Ilya Gutkovskiy_, Nov 28 2015