-2860

Appears in sequences

• Expansion of sqrt(1 - 4*x) in powers of x.at n=9A002420
• Expansion of (1-4*x)^(15/2).at n=3A020927
• Main diagonal of triangle A097094; g.f. A(x) satisfies A(x)/(1-x-x^2) = A(x^2)^2/(1-x-x^3)^2.at n=20A097095
• An inverse Chebyshev transform of (1-x)^2.at n=15A099364
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=45A106190
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=56A106190
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=68A106190
• T(n,k) are coefficients used for power series inversion (sometimes called reversion), n >= 0, k = 1..A000041(n), read by rows.at n=61A111785
• Bond percolation series for 4.8 (bathroom tile) lattice.at n=28A120553
• Irregular triangular array a(n,m) for third (k=3) convolution of Chebyshev's S(n,x) = U(n,x/2) polynomials, read by rows (n >=0, 0 <= m <= floor(n/2)).at n=37A128505
• A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}].at n=48A142701
• Composition of Catalan and Fibonacci numbers.at n=37A189675
• Composition of Catalan and Fibonacci numbers.at n=39A189675
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,1)=f(1,j)=1, f(i,i)= i; f(i,j)=0 otherwise; as in A204179.at n=28A204180
• Expansion of phi(-x)^2 * f(-x)^6 + 32 * x * psi(-x)^2 * f(-x^4)^6 in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=36A215601
• Convolution of partition polynomials of A133437 related to solutions of the Burgers-Hopf equation.at n=43A276850
• G.f.: Sum_{n>=0} (x^(2*n-1) + 1)^n * x^n / (1 + x^(2*n+1))^(n+1), an even function.at n=37A326602
• a(n) = [x^n] 1/(1 + x + x^2)^n.at n=9A350383