login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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