[go: up one dir, main page]

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”).

A271310
Decimal expansion of the leftmost root of Im(W(z)/log(z)) = Re(W(z)/log(z)) (negated), where W(z) denotes the Lambert W function.
1
4, 2, 1, 3, 1, 5, 0, 6, 8, 4, 8, 4, 4, 9, 0, 4, 8, 9, 8, 4, 6, 0, 6, 8, 9, 1, 9, 6, 4, 5, 6, 0, 1, 5, 8, 3, 9, 7, 4, 9, 4, 4, 4, 9, 0, 1, 7, 6, 6, 0, 8, 0, 2, 3, 2, 4, 7, 0, 4, 2, 2, 7, 4, 9, 6, 8, 9, 2, 0, 2, 4, 2, 1, 3, 2, 5, 2, 1, 7, 4, 3, 3, 9, 2, 3, 3, 9, 4, 4, 3, 6, 1, 8, 0, 0, 0, 9, 8, 2, 4, 0, 4, 8, 1, 7
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function
EXAMPLE
-0.42131506848449048984606891964560158397494449...
MAPLE
f:= z-> Re(LambertW(-z)/ln(-z))-Im(LambertW(-z)/ln(-z)):
Digits:= 200:
fsolve(f(x), x=0.4..1.0); # Alois P. Heinz, May 04 2016
MATHEMATICA
FindRoot[Im[ProductLog[z]/Log[z]] - Re[ProductLog[z]/Log[z]] == 0, {z, -0.42241, -0.416207}, WorkingPrecision ->100 ]
CROSSREFS
Sequence in context: A097525 A309975 A010124 * A071406 A337063 A375119
KEYWORD
nonn,cons
AUTHOR
Eli Jaffe, Mar 27 2016
STATUS
approved