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A329989
Decimal expansion of the solution of 1/x + 1/3^x = 1.
3
1, 3, 1, 0, 5, 6, 9, 9, 4, 6, 5, 9, 0, 8, 0, 9, 3, 4, 5, 5, 7, 5, 1, 4, 3, 0, 7, 4, 9, 0, 8, 5, 1, 8, 5, 7, 2, 9, 9, 8, 3, 7, 3, 9, 4, 1, 4, 1, 2, 2, 5, 7, 5, 8, 0, 3, 8, 4, 8, 1, 1, 6, 0, 9, 5, 5, 0, 7, 9, 8, 8, 1, 1, 4, 6, 7, 7, 8, 4, 8, 0, 0, 6, 0, 5, 3
OFFSET
1,2
FORMULA
x + 3^x = x * 3^x.
EXAMPLE
x = 1.31056994659080934557514...
MATHEMATICA
r = x /. FindRoot[1/x + 1/3^x == 1, {x, 1, 10}, WorkingPrecision -> 120]
RealDigits[r][[1]] (* A329989 *)
Plot[1/x + 1/3^x - 1, {x, 1, 2}]
CROSSREFS
Sequence in context: A021326 A362885 A227342 * A110032 A201667 A175779
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jan 02 2020
STATUS
approved