%I A133263
%S A133263 1,3,5,8,12,17,23,30,38,47,57,68,80,93,107,122,138,155,173,192,212,233,
%T A133263 255,278,302,327,353,380,408,437,467,498,530,563,597,632,668,705,743,
%U A133263 782,822,863,905,948,992,1037,1083,1130,1178,1227,1277
%N A133263 Binomial transform of (1, 2, 0, 1, -1, 1, -1, 1,...).
%F A133263 A007318 * [1, 2, 0, 1, -1, 1, -1, 1,...]. Left column of A134249
%F A133263 a(n)=(n^2 + n + 4)/2 G.f.=(1-x^2+x^3)/(1-x)^3. - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Nov 12 2007
%F A133263 a(n)= A000124(n)+1, n>=1. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 12 2008
%F A133263 a(1)=1, a(2)=3; for n>=3, a(n)=a(n-1)+n-1. - Philippe Lallouet (philip.lallouet(AT)orange.fr), 
               May 27 2008
%e A133263 a(3) = 8 = (1, 3, 3, 1) dot (1, 2 0, 1) = (1 + 6 + 0 + 1).
%p A133263 1, seq((n^2+n+4)*1/2,n=1..50); - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Nov 12 2007
%p A133263 a:=n->sum((stirling2(j+1,n)), j=0..n):seq(a(n)+1, n=0..50); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 12 2008
%t A133263 i=-1;s=3;lst={Abs[i]};Do[s+=n+i;If[s>2, AppendTo[lst, s]], {n, 0, 5!, 
               1}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 30 
               2008]
%Y A133263 Cf. A134249.
%Y A133263 Sequence in context: A095173 A002579 A023544 this_sequence A038088 A018917 
               A167385
%Y A133263 Adjacent sequences: A133260 A133261 A133262 this_sequence A133264 A133265 
               A133266
%K A133263 nonn
%O A133263 0,2
%A A133263 Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 15 2007
%E A133263 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 12 2007