mobius of binomials

Robert G. Wilson v rgwv at rgwv.com
Mon Feb 7 23:25:00 CET 2005


Dear Emeric,

	I get the same 149 terms that Paul cites. But these are not in the OEIS.

Sincerely yours,
Bob.


%I A000001
%S A000001 3,12,24,29,34,40,54,60,67,68,75,86,93,97,102,119,125,131,133,142,152,
%T A000001 157,160,163,164,168,170,172,189,193,197,208,210,220,221,228,229,246,
%U A000001 251,255,257,261,270,275,280,293,296,307,308,313,315,332,337,338,340
%N A000001 Numbers, n, such that the Sum_{k=0..n} moebius(binomial(n,k)) = 0.
%t A000001 f[n_] := Sum[ MoebiusMu[ Binomial[n, k]], {k, 0, n}]; Select[ Range[ 
340], f[#] == 0 &] (from RGWv Feb 07 2005)
%O A000001 1,1
%K A000001 easy,nonn
%A A000001 Emeric Deutsch (deutsch at duke.poly.edu), Feb 07 2005



Emeric Deutsch wrote:

> Dear seqfans,
> The values of n between 0 and 1000 for which 
> 	sum(mobius(binom(n,k),k=0..n))=0 
> are 
>           3,12,24,29,34,40  (not yet in OEIS).
> For example mobius(1)+mobius(3)+mobius(3)+mobius(1)=1-1-1+1=0.
> Is this a finite sequence?
> Thanks.
> Emeric
> P.S. Sorry, in previous message I forgot about the subject line.
> 





More information about the SeqFan mailing list