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.

A196552 Decimal expansion of the number x satisfying x*2^x=5.

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%I A196552 #8 Feb 27 2013 02:54:13
%S A196552 1,6,2,3,1,4,0,3,4,5,9,6,9,0,3,6,6,7,0,9,4,2,3,3,4,4,0,4,1,6,1,9,6,5,
%T A196552 6,3,4,8,2,6,2,9,8,7,3,7,7,9,7,9,5,9,9,3,4,7,2,4,5,5,4,6,8,2,8,7,8,3,
%U A196552 9,6,5,8,6,6,7,2,5,3,9,2,5,9,4,5,7,4,2,6,7,3,7,4,6,7,9,5,5,9,0,8
%N A196552 Decimal expansion of the number x satisfying x*2^x=5.
%e A196552 x=1.62314034596903667094233440416196563482629873...
%t A196552 Plot[{2^x, 1/x, 2/x, 3/x, 4/x}, {x, 0, 2}]
%t A196552 t = x /. FindRoot[2^x == 1/x, {x, 0.5, 1}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A104748 *)
%t A196552 t = x /. FindRoot[2^x == E/x, {x, 0.5, 1}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A196549 *)
%t A196552 t = x /. FindRoot[2^x == 3/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A196550 *)
%t A196552 t = x /. FindRoot[2^x == 4/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A196551 *)
%t A196552 t = x /. FindRoot[2^x == 5/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A196552 *)
%t A196552 t = x /. FindRoot[2^x == 6/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196552 RealDigits[t]  (* A196553 *)
%t A196552 RealDigits[ ProductLog[ Log[32] ] / Log[2], 10, 100] // First (* _Jean-François Alcover_, Feb 27 2013 *)
%K A196552 nonn,cons
%O A196552 1,2
%A A196552 _Clark Kimberling_, Oct 03 2011