[seqfan] Re: 0^n in A097135

Robert Munafo mrob27 at gmail.com
Sat Jan 23 02:14:59 CET 2010


0^n is A000007, and "F(n)" seems to imply the Fibonacci numbers, so I
suggest  defining A097135 as "3*A000045(n)+A000007(n)".

On Fri, Jan 22, 2010 at 19:56, Alonso Del Arte <alonso.delarte at gmail.com>wrote:

> I'm not sure I understand what's the point of 0^n in the definition of
> A097135. For n < 0 it's complex infinity, for n = 0 it's indeterminate, and
> for n > 0 it's just 0. I am aware that there are some calculators that will
> give 0^0 = 1 (we've probably discused that in this list), but even if we
> agreed that's the proper definition, it might perhaps be more
> straightforward to define the sequence as a(n) = 3F_n with the arbitrary
> assignment a(0) = 1. Or change a(0) to 0 or maybe drop a(0) altogether.
>

-- 
 Robert Munafo  --  mrob.com



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