A103552 - OEIS

A103552

Decimal expansion of solution to x*7^x = 1.

4, 3, 1, 6, 9, 4, 1, 2, 6, 4, 9, 5, 8, 7, 8, 0, 1, 0, 4, 2, 6, 1, 6, 7, 0, 9, 8, 9, 1, 6, 3, 5, 1, 6, 8, 1, 9, 4, 5, 9, 0, 1, 8, 1, 2, 6, 4, 6, 4, 2, 2, 1, 9, 7, 5, 6, 5, 9, 2, 2, 9, 7, 4, 6, 7, 8, 0, 2, 3, 3, 2, 5, 2, 4, 3, 9, 4, 5, 6, 8, 8, 2, 3, 0, 3, 6, 5, 0, 0, 9, 8, 3, 8, 6, 0, 9, 8, 8, 6, 3, 4, 9, 0, 0, 1, 0

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OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

x*7^x = 1.

x = (1/7)^(1/7)^(1/7)^... = LambertW(log(7))/log(7). - Alois P. Heinz, Dec 03 2014

EXAMPLE

0.43169412649587801042616709891635168194590181264642...

MAPLE

x:= LambertW(log(7))/log(7):

s:= convert(evalf(x, 140), string):

seq(parse(s[n+2]), n=0..119); # Alois P. Heinz, Dec 03 2014

MATHEMATICA

RealDigits[ProductLog[Log[7]]/Log[7], 10, 105][[1]] (* Amiram Eldar, May 04 2023 *)

CROSSREFS

Cf. A104748, A103549, A103550, A103551, A103553, A103554, A103555, A103556, A103559, A103560.

Sequence in context: A283299 A355182 A190157 * A127673 A016698 A200115

Adjacent sequences: A103549 A103550 A103551 * A103553 A103554 A103555

KEYWORD

nonn,cons

AUTHOR

Zak Seidov, Mar 23 2005

EXTENSIONS

More terms from Alois P. Heinz, Dec 03 2014

STATUS

approved