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.

A094884 Decimal expansion of phi/sqrt(2), where phi = (1+sqrt(5))/2.

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%I A094884 #24 Nov 23 2024 05:48:22
%S A094884 1,1,4,4,1,2,2,8,0,5,6,3,5,3,6,8,5,9,5,2,0,0,1,4,5,5,6,7,1,6,0,6,0,4,
%T A094884 1,5,3,0,7,2,3,0,6,7,5,3,6,7,5,5,4,1,2,2,5,0,0,8,5,4,6,1,4,7,6,9,5,8,
%U A094884 3,1,7,2,9,2,7,5,3,3,6,3,1,5,0,4,8,6,5,8,9,1,0,6,7,6,7,3,5,4,6
%N A094884 Decimal expansion of phi/sqrt(2), where phi = (1+sqrt(5))/2.
%C A094884 An algebraic number with minimal polynomial 4*x^4 - 6*x^2 + 1. - _Charles R Greathouse IV_, Mar 25 2014
%H A094884 Ivan Panchenko, <a href="/A094884/b094884.txt">Table of n, a(n) for n = 1..1000</a>
%F A094884 Equals Product_{k>=0} (1 + (-1)^k/(10*k+5)). - _Amiram Eldar_, Nov 23 2024
%F A094884 Equals A094887/2 = sqrt(A239798). - _Hugo Pfoertner_, Nov 23 2024
%e A094884 1.144122805635368595200145567160604153072306753675541225...
%t A094884 RealDigits[GoldenRatio/Sqrt[2],10,120][[1]] (* _Harvey P. Dale_, Feb 11 2015 *)
%o A094884 (PARI) sqrt(sqrt(5)+3)/2 \\ _Charles R Greathouse IV_, Mar 25 2014
%o A094884 (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (1+Sqrt(5) )/(2*Sqrt(2)); // _G. C. Greubel_, Sep 27 2018
%Y A094884 Cf. A001622 (phi), A002193 (sqrt(2)), A017329, A094887, A239798.
%K A094884 cons,nonn
%O A094884 1,3
%A A094884 _N. J. A. Sloane_, Jun 15 2004