-12288

Appears in sequences

• Berstel sequence: a(n+1) = 2*a(n) - 4*a(n-1) + 4*a(n-2).at n=19A007420
• a(n) = 8^n - n^7.at n=4A024095
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in increasing order).at n=26A053124
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in decreasing order).at n=22A053125
• Expansion of (1-x)/(1+2*x+2*x^2).at n=25A078069
• List of quadruples: 2*(-4)^n, -3*(-4)^n, 2*(-4^n), 2*(-4)^n, n >= 0.at n=25A134142
• a(n) = b(n+1)-2b(n) where b() is A134812.at n=25A134813
• First differences of A138380. Second differences of A138377.at n=25A138382
• Sign weighted matrices n X n:example {{2 w[2], w[0], w[1]}, {3 w[0], 2 w[1], w[2]}, {3 w[1], 3 w[2], 2 w[0]}} are made into monomials using w[n]=1 if n<>0, x if n==0. The coefficients of the monomials form a triangular sequence.at n=56A140326
• A002321*A000079.at n=12A162459
• a(n) = 2^n*floor((5-2*n)/3).at n=11A171552
• A triangle of coefficients based on the squares of the Chebyshev T and U polynomials: p(x,n)=If[Mod[n, 2] == 0, (ChebyshevT[n + 1, x]^2 + x^2*ChebyshevU[n, x]^2)/(2*x^2), (-1 + ChebyshevT[n + 1, x]^2 + x^2*ChebyshevU[n, x]^2)/(2*x^2)].at n=46A173335
• Determinant of the matrix a(i,j) = 1 if abs(i-j) < 2 and -1 in the rest.at n=10A174647
• Expansion of (1/q) * phi(-q) * phi(q^4) / (phi(q) * psi(q^8)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=17A215346
• a(n) = 3*a(n-2) - a(n-3), with a(0)=3, a(1)=0, and a(2)=6.at n=15A215664
• Expansion of q^(-1) * phi(q^2)^2 / (phi(q) * psi(q^8)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=17A232392
• a(n) gives the determinant of a bisymmetric n X n matrix involving the entries 1, 2, ..., A002620(n+1).at n=6A259056
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 5/3.at n=27A279676
• Expansion of e.g.f. exp(2*x/(1 + x)).at n=8A317364
• G.f.: Sum_{n>=0} (n+1) * x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+2).at n=37A326285