-1092

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=18A001485
• Expansion of (1-4*x)^(9/2).at n=12A002424
• Expansion of (1-4*x)^(13/2).at n=12A020925
• Signed Fibonomial triangle.at n=41A055870
• Image of primes (A000040) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=32A056221
• a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=37A071167
• Expansion of 1/((1-x)*(1+2*x+x^2+2*x^3)).at n=11A077931
• New tetradiagonal form matrix as triangular sequence from solution of : X(n,m)=Steinbach(n,m)^(-1).tri-Antidiagonal_1(n,n).at n=60A124020
• Array for second (k=2) convolution of Chebyshev's S(n,x)=U(n,x/2) polynomials.at n=50A128503
• Triangle by rows with row n formed by coefficients of the characteristic polynomial of the n X n tridiagonal matrix with m_{i,i} = 2 for i=1..n, m_{i,i-1} = m_{i,i+1} = -1 for i=2..n-1, and m_{1,2} = m_{n,n-1} = -2.at n=48A140882
• Denominator coefficients of infinite over the Fibonacci sequence: p(x,n)=(1 - x)*Sum[Fibonacci[k]^n*x^k, {k, 0, Infinity}]; t(n,m)=Coefficients(Denominator(p(x,n)).at n=38A156133
• Triangle of characteristic polynomials, see Mathematica code.at n=51A158389
• E.g.f. (1+x)^(1+x^2+x^4).at n=7A191462
• Coefficients of expansion of 1/xi_0(y)^2 (see A195980 for definition).at n=11A195982
• Triangle of coefficients of polynomials concerning Newman-like phenomenon of multiples of b+1 in even base b in interval [0,b^n) (see comment).at n=40A212822
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood.at n=47A273174
• Expansion of Sum_{k>=1} mu(k)*log((theta_3(x^k) + 1)/2)/k, where theta_3() is the Jacobi theta function.at n=43A308297
• G.f.: Sum_{n>=0} x^n * (x^(n+1) + i)^n / (1 + i*x^(n+1))^(n+1).at n=50A324300
• a(n) = Sum_{k=0..floor(n/8)} (-1)^k * binomial(n-4*k,4*k).at n=21A348309
• Irregular triangular array: row n is the linear recurrence signature of F(i)^n - F(i-1)^n, where F = A000045 (Fibonacci numbers).at n=28A379048