-11440

Appears in sequences

• Triangle of binomial coefficients C(-n,k).at n=62A027555
• G.f.: (1-16*x+28*x^2+56*x^3-140*x^4+56*x^5+28*x^6-16*x^7+x^8)/(x^2-x+1)^8.at n=9A112403
• Expansion of c(x*y*(1-x)), c(x) the g.f. of A000108.at n=53A115179
• Derived Shabat linear tree transform of A053120: Triangle of coefficients of transformed Chebyshev's T(n, x) polynomials (powers of x in increasing order) T(x,n)->c*T(c*x+d)+d: c=-1;d=1; as substitution: 1-x->y( here alternative starting polynomial of Q(y,1]=1-y.at n=50A136203
• Triangle read by rows: alternating binomial coefficients with signs.at n=28A156290
• Expansion of (1 + 2*x)*(1 + sqrt(1+4*x))/(2*sqrt(1+4*x)).at n=9A158500
• A characteristic polynomial triangle of a Hadamard matrix self-similar lower triangular system: H(2^(n-1)) -> H(2^n).at n=49A158800
• A characteristic polynomial triangle of a Hadamard matrix self-similar lower triangular system: H(2^(n-1)) -> H(2^n).at n=53A158800
• G.f.: 1/(1 + x + 2*x^2 + 2*x^3 + x^4).at n=36A199744
• Triangle T(n,k) = coefficient of x^n in expansion of ((2-2*cos(x))/x)^k = Sum_{n>=k} T(n,k) * x^n * (2*k)!/(n+k)!.at n=48A199916
• Trisection 0 of A199744.at n=12A199933
• Smallest Euler characteristic of a downset on an n-dimensional cube.at n=16A214283
• Triangle T(n,k): the coefficient [x^(n-k)] of the polynomial 2^n*n!*L(n,3/2,x), where L is the generalized Laguerre Polynomial in the Abramowitz-Stegun normalization.at n=17A229789
• Convolution of partition polynomials of A133437 related to solutions of the Burgers-Hopf equation.at n=42A276850
• G.f.: Sum_{n=-oo..+oo} x^(n*(n+1)/2) * C(x)^(4*n-6), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=13A355864