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A196551 Decimal expansion of the number x satisfying x*2^x=4. 5
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

x=1.4569995591345918262532230256942554086498597255...

MATHEMATICA

Plot[{2^x, 1/x, 2/x, 3/x, 4/x}, {x, 0, 2}]

t = x /. FindRoot[2^x == 1/x, {x, 0.5, 1}, WorkingPrecision -> 100]

RealDigits[t]  (* A104748 *)

t = x /. FindRoot[2^x == E/x, {x, 0.5, 1}, WorkingPrecision -> 100]

RealDigits[t]  (* A196549 *)

t = x /. FindRoot[2^x == 3/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196550 *)

t = x /. FindRoot[2^x == 4/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196551 *)

t = x /. FindRoot[2^x == 5/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196552 *)

t = x /. FindRoot[2^x == 6/x, {x, 0.5, 2}, WorkingPrecision -> 100]

RealDigits[t]  (* A196553 *)

RealDigits[ ProductLog[ Log[16] ] / Log[2], 10, 100] // First (* Jean-Fran├žois Alcover, Feb 27 2013 *)

CROSSREFS

Sequence in context: A275322 A195355 A049466 * A139546 A029776 A064931

Adjacent sequences:  A196548 A196549 A196550 * A196552 A196553 A196554

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 03 2011

STATUS

approved

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Last modified May 23 05:03 EDT 2019. Contains 323508 sequences. (Running on oeis4.)