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A125089 First nonzero digit of solution to log_n(z) = -z, where log_n stands for the base-n logarithm. 0
6, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..106.

FORMULA

First nonzero digit of W(log(n))/log(n) for integer n > 1. Here W is the Lambert W function.

EXAMPLE

a(2) = 6 because 6 is the first digit of the solution (z = 0.641...) to the generating equation log_2(z) = -z.

PROG

Mathcad program for first 3000 or so terms (substitute an integer > 1 for n): trunc(10*root(log(z, n)+z, z))

CROSSREFS

Sequence in context: A221217 A018868 A302712 * A171537 A200096 A220086

Adjacent sequences:  A125086 A125087 A125088 * A125090 A125091 A125092

KEYWORD

nonn,base

AUTHOR

A. Timothy Royappa, Apr 08 2008, Apr 14 2008

STATUS

approved

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Last modified April 22 22:22 EDT 2019. Contains 322378 sequences. (Running on oeis4.)