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A125089
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First nonzero digit of solution to log_n(z) = -z, where log_n stands for the base n logarithm.
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0
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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; internal format)
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OFFSET
| 2,1
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FORMULA
| First nonzero digit of W(ln(n))/ln(n) for integer n > 1. Here W is the Lambert W function.
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EXAMPLE
| a(2) = 6 because 6 is the first digit of the solution (z = 0.641...) to the generating equation log_2(z) = -z.
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PROG
| Mathcad program for first 3000 or so terms (substitute an integer > 1 for n): trunc(10*root(log(z, n)+z, z))
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CROSSREFS
| Sequence in context: A090861 A132670 A018868 * A171537 A200096 A094773
Adjacent sequences: A125086 A125087 A125088 * A125090 A125091 A125092
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KEYWORD
| nonn,base
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AUTHOR
| Tim Royappa (royappa(AT)uwf.edu), Apr 08 2008, Apr 14 2008
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