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.

A196551 Decimal expansion of the number x satisfying x*2^x=4.

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%I A196551 #8 Feb 27 2013 02:54:28
%S A196551 1,4,5,6,9,9,9,5,5,9,1,3,4,5,9,1,8,2,6,2,5,3,2,2,3,0,2,5,6,9,4,2,5,5,
%T A196551 4,0,8,6,4,9,8,5,9,7,2,5,5,8,1,9,9,6,4,3,4,9,8,1,1,3,5,9,6,7,4,0,4,5,
%U A196551 5,9,4,7,0,1,8,8,1,5,9,0,6,9,7,5,2,4,0,6,0,3,9,2,7,6,8,6,8,8,0,0
%N A196551 Decimal expansion of the number x satisfying x*2^x=4.
%e A196551 x=1.4569995591345918262532230256942554086498597255...
%t A196551 Plot[{2^x, 1/x, 2/x, 3/x, 4/x}, {x, 0, 2}]
%t A196551 t = x /. FindRoot[2^x == 1/x, {x, 0.5, 1}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A104748 *)
%t A196551 t = x /. FindRoot[2^x == E/x, {x, 0.5, 1}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A196549 *)
%t A196551 t = x /. FindRoot[2^x == 3/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A196550 *)
%t A196551 t = x /. FindRoot[2^x == 4/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A196551 *)
%t A196551 t = x /. FindRoot[2^x == 5/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A196552 *)
%t A196551 t = x /. FindRoot[2^x == 6/x, {x, 0.5, 2}, WorkingPrecision -> 100]
%t A196551 RealDigits[t]  (* A196553 *)
%t A196551 RealDigits[ ProductLog[ Log[16] ] / Log[2], 10, 100] // First (* _Jean-François Alcover_, Feb 27 2013 *)
%K A196551 nonn,cons
%O A196551 1,2
%A A196551 _Clark Kimberling_, Oct 03 2011