Search: id:A133263 Results 1-1 of 1 results found. %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 Search completed in 0.001 seconds