-19683
domain: Z
Appears in sequences
- Expansion of bracket function.at n=18A000748
- Discriminant of n-th cyclotomic polynomial.at n=8A004124
- Discriminant of n-th cyclotomic polynomial.at n=17A004124
- Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3*x + 3*x^2).at n=18A057083
- a(n) = Sum_{j=0..floor(n/3)} (-1)^j*binomial(n,3*j).at n=19A057681
- a(n) = Sum_{j=0..floor(n/3)} (-1)^j*binomial(n,3*j).at n=20A057681
- a(n) = Sum_{j=0..floor(n/3)} (-1)^j*binomial(n,3*j+1).at n=19A057682
- Expansion of (1-3*x+12*x^2)/((1-3*x)*(1+3*x)).at n=9A091103
- A transform of the Jacobsthal numbers.at n=20A103312
- A transform of the Jacobsthal numbers.at n=21A103312
- 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=25A117252
- Expansion of (1+2*x)/(1+3*x+3*x^2).at n=18A123877
- Expansion of (1 - 3x)/(1 + 3*x^2).at n=17A128019
- Expansion of (1 - 3x)/(1 + 3*x^2).at n=18A128019
- 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=38A131292
- Sequence is identical to its third differences in absolute value: a(0), a(1), a(2), a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), with a(0)=a(1)=0, a(2)=1.at n=38A131665
- Expansion of a(q)^2 * (b(q) * c(q) / 3)^3 in powers of q where a(), b(), c() are cubic AGM theta functions.at n=26A136747
- A triangular sequence from the Z/nZ matrix addition tables as in sequence A095897 as coefficients of characteristic polynomials: M(n,m)=Mod[n + m, d] for n <=m<=d.at n=50A138064
- Inverse binomial transform of A140962.at n=11A141413
- G.f.: A(x) = 1 + x/exp( Sum_{k>=1} (A((-1)^k*x) - 1)^k/k ).at n=20A157674