Similarity of A000799 & A064355

Max maxale at gmail.com
Wed Feb 15 00:53:27 CET 2006


On 2/14/06, franktaw at netscape.net <franktaw at netscape.net> wrote:

> The converse is really easy enough.  For any number not in one of these
> forms, the largest (absolute) two terms of the sum total less than 2^n - n.
> The next term (if there is one) is also negative, and since the absolute
> values of the remaining terms sum to less than the absolute value of that
> term (all terms have absolute value a power of two), the sum is overall less
> than 2^n - n, so A064355(n) <= 2^n/n - 1.

I'm confused by the terminology.
What terms and sums do you consider?
And how they can be negative taking into account that
A064355(n) is defined as the number of subsets {1,2,..n} which sum to 1 mod n.
(I do not see anything negative here)

Thanks,
Max






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