%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
%O A131534 0,2
%A A131534 Paul Curtz (bpcrtz(AT)free.fr), Aug 26 2007