-3432
domain: Z
Appears in sequences
- Expansion of (1-4*x)^(13/2).at n=7A020925
- Expansion of (1-4*x)^(13/2).at n=14A020925
- Expansion of Product_{m >= 1} (1-m*q^m)^14.at n=7A022674
- Triangle of binomial coefficients C(-n,k).at n=43A027555
- Triangle of coefficients of Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in increasing order).at n=58A053122
- Triangle of coefficients of shifted Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in decreasing order).at n=62A053123
- Riordan array (1,c(-x)), where c(x) = g.f. of Catalan numbers.at n=58A099039
- 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=7A112403
- Third convolution of A115140.at n=10A115142
- Triangle of Hankel transforms of certain binomial sums.at n=34A120257
- Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).at n=47A124019
- Expansion of (1+x)/sqrt(1+4x^2).at n=14A128057
- Expansion of (1+x)/sqrt(1+4x^2).at n=15A128057
- G.f. A(x) = 1 + 4*x*A(x)^(1/2); A(x) = 1 + 8*x^2 + 4*x*sqrt(1 + 4*x^2).at n=17A135863
- A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)*x^i*y^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).at n=48A139584
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A168491.at n=47A171567
- Triangle Id-(xc(x),xc(x)), c(x) the g.f. of the Catalan numbers A000108.at n=57A181645
- a(n) = 2n(19-n).at n=52A182428
- Smallest Euler characteristic of a downset on an n-dimensional cube.at n=14A214283
- Triangle of coefficients of polynomials providing the second term of the numerator for the generating function for odd powers (2*m+1) of Chebyshev S-polynomials. The present polynomials are called P(m;1,x^2).at n=48A217478