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First nonzero digit of solution to log_n(z) = -z, where log_n stands for the base n logarithm.

+0
1

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; listen)

	OFFSET	`2,1`
	FORMULA	`First nonzero digit of W(ln(n))/ln(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.`
	PROGRAM	`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: A090861 A132670 A018868 this_sequence A094773 A019131 A019132` `Adjacent sequences: A125086 A125087 A125088 this_sequence A125090 A125091 A125092`
	KEYWORD	`nonn,base`
	AUTHOR	`Tim Royappa (royappa(AT)uwf.edu), Apr 08 2008, Apr 14 2008`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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