Champernowne's digits

N. J. A. Sloane njas at research.att.com
Sun Feb 18 16:07:38 CET 2007


so that a number like 67.456... was converted to a sequence
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From: "N. J. A. Sloane" <njas at research.att.com>
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Subject: Re: Champernowne's digits
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From: "Max Alekseyev" <maxale at gmail.com>
To: "Simon Plouffe" <simon.plouffe at gmail.com>
Subject: Re: asymptotic formula for A006154
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On 2/16/07, Simon Plouffe <simon.plouffe at gmail.com> wrote:

>   I have computed a formula for A006154.
>
> a(n) ~ sqrt(2)/2*(n-1)!/log(1+sqrt(2))^n

It should be

a(n) ~ sqrt(2)/2*n!/log(1+sqrt(2))^(n+1)

Max





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