-177147

Appears in sequences

• Expansion of bracket function.at n=22A000748
• Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3*x + 3*x^2).at n=21A057083
• Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3*x + 3*x^2).at n=22A057083
• Expansion of (1-3*x+12*x^2)/((1-3*x)*(1+3*x)).at n=11A091103
• Triangle T, read by rows, where matrix power T^3 has powers of 3 in the secondary diagonal: [T^3](n+1,n) = 3^(n+1), with all 1's in the main diagonal and zeros elsewhere.at n=33A117252
• Expansion of (1 - 3x)/(1 + 3*x^2).at n=21A128019
• Expansion of (1 - 3x)/(1 + 3*x^2).at n=22A128019
• a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1.at n=43A131292
• a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1.at n=44A131292
• a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1.at n=46A131292
• a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1.at n=47A131292
• a(n)=4a(n-1)-7a(n-2)+6a(n-3)-3a(n-4), n>4.at n=24A140343
• Inverse binomial transform of A140962.at n=13A141413
• G.f.: A(x) = 1 + x/exp( Sum_{k>=1} (A((-1)^k*x) - 1)^k/k ).at n=24A157674
• a(n) = 3*a(n-2) for n > 2; a(1) = 3, a(2) = -1.at n=23A162852
• Expansion of g.f. (x + x^2)/(1 + 3*x^2).at n=23A287479
• Expansion of g.f. (x + x^2)/(1 + 3*x^2).at n=24A287479
• Powers of -3: a(n) = (-3)^n.at n=11A352779