A001650

David Wilson davidwwilson at comcast.net
Thu Oct 19 01:31:28 CEST 2006


It seems to me that A001650 "wants" to start at index 0 instead of index 1. If we do this, the formulae simplify and special cases disappear, so that the current

%F A001650 a(n) = 1 + 2*floor(sqrt(n-1)), n > 0. - Antonio Esposito (antonio.b.esposito(AT)italtel.it), Jan 21 2002
%F A001650 G.f.: theta_3(x)*x/(1-x). a(n+1)=a(n)+A000122(n). - Michael Somos, Apr 29 2003.
%o A001650 (PARI) a(n)=if(n<1,0,1+2*sqrtint(n-1))

becomes

%F A001650 a(n) = 1 + 2*floor(sqrt(n)). - Antonio Esposito (antonio.b.esposito(AT)italtel.it), Jan 21 2002
%F A001650 G.f.: theta_3(x)/(1-x). a(n)=a(n-1)+A000122(n). - Michael Somos, Apr 29 2003.
%o A001650 (PARI) a(n)=1+2*sqrtint(n)

My interest in making this change is that it also makes A001650 consistent with a batch of sequences I plan to submit in the near future.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://list.seqfan.eu/pipermail/seqfan/attachments/20061018/c090c24e/attachment-0001.htm>


More information about the SeqFan mailing list