Search: id:A131534 Results 1-1 of 1 results found. %I A131534 %S A131534 1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2, %T A131534 1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1, %U A131534 2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1 %N A131534 Period 3: repeat 1 2 1. %C A131534 Partial sums of A106510 . Inverse binomial transform of A024495 (without leading zeros). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 26 2008] %C A131534 a(n) = A130196(n)-A022003(n) = A080425(n)-A130196(n)+2 = A153727(n)/A130196(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 12 2009] %F A131534 a(n)=(1/9)*{4*(n mod 3)+7*[(n+1) mod 3]+[(n+2) mod 3]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Aug 28 2007 %F A131534 G.f.: -(x+1)^2/(x-1)/(x^2+x+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007 %F A131534 a(n)=4/3+(2/3)*cos(2*pi*(n+2)/3) - Jaume Oliver Lafont (joliverlafont(AT)gmail.com), May 09 2008 %F A131534 a(n)=A101825(n+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 13 2008 %F A131534 a(n)=4/3+1/3*(-1/2-(1/2*I)*sqrt(3))^(-2)*(-1/2-(1/2*I)*sqrt(3))^n+1/3*(-1/ 2+(1/2*I) *sqrt(3))^(-2)*(-1/2+(1/2*I)*sqrt(3))^n+1/3*(-1/2-(1/2*I)*sqrt(3))^n+1/ 3*(-1/2 +(1/2*I)*sqrt(3))^n+2/3*(-1/2-(1/2*I)*sqrt(3))^(-1)*(-1/2-(1/ 2*I)*sqrt(3))^n+2/3 *(-1/2+(1/2*I)*sqrt(3))^(-1)*(-1/2+(1/2*I)*sqrt(3))^n, with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Nov 27 2008] %F A131534 G.f.: (1+x)^2/(1-x^3) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 23 2009] %o A131534 (PARI) a(n)=1+(n%3==1) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Mar 20 2009] %Y A131534 A167808. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 12 2009] %Y A131534 Sequence in context: A101825 A057079 A087204 this_sequence A061347 A115579 A115573 %Y A131534 Adjacent sequences: A131531 A131532 A131533 this_sequence A131535 A131536 A131537 %K A131534 nonn,new %O A131534 0,2 %A A131534 Paul Curtz (bpcrtz(AT)free.fr), Aug 26 2007 Search completed in 0.002 seconds