Ternary formula for a decimal expression
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From: TCL on 30 Apr 2010 18:52 Let k be a positive integer. Is there a close form formula for the ternary expansion of the decimal number 2+2^2+2^3+....+2^k ? Seems to me that such formulae are impossible.
From: TCL on 1 May 2010 08:21
On Apr 30, 6:52 pm, TCL <tl...(a)cox.net> wrote: > Let k be a positive integer. > Is there a close form formula for the ternary expansion of > the decimal number > > 2+2^2+2^3+....+2^k ? > > Seems to me that such formulae are impossible. Call the expression T. Consider the case k is odd, say k=2m+1. Let the ternary expansion of m be b_0 + b_1 3 + ..... At this time, I get T= 2 + b_0 3 + .... I have yet to figure out the ..... |