-858

Appears in sequences

• Expansion of sqrt(1 - 4*x) in powers of x.at n=8A002420
• 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=20A007441
• Expansion of (1-4*x)^(13/2).at n=8A020925
• 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=35A071167
• Inverse of binomial transform of Whitney triangle.at n=28A097761
• An inverse Chebyshev transform of (1-x)^2.at n=13A099364
• Expansion of exp( arcsinh( -2*x ) ) in powers of x.at n=16A104624
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=36A106190
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=46A106190
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=57A106190
• Triangle read by rows: T(n,k) = binomial(2(n-k),n-k)/(1-2(n-k)).at n=69A106190
• G.f.: Product_{k>0} (1-x^(2k-1))/(1-x^(2k)).at n=29A106507
• a(n) = -n^2 - n + 72.at n=30A110678
• Expansion of (eta(q)eta(q^9)/eta(q^3)^2)^6 in powers of q.at n=7A121592
• Array for second (k=2) convolution of Chebyshev's S(n,x)=U(n,x/2) polynomials.at n=43A128503
• Triangle read by rows: T(n,k) = (-1)^(n-k)*(C(k+n-1,n-k)-2*C(k+n-1,n-k-1)) for n>=0 and 0<=k<=n.at n=59A137289
• Riordan array (2c(-x)-1, xc(-x)^3), c(x) the g.f. of A000108.at n=28A159971
• Expansion of exp( arcsinh( 2*x ) ).at n=16A182122
• a(n) = A184879(2*n, n) - A184879(2*n, n+1) where A184879(n, k) = Hypergeometric2F1(-2*k, 2*k-2*n, 1, -1) if 0<=k<=n.at n=9A184881
• Triangle read by rows: T(n,m) = (m/(n-m))*Sum_{k=1..n-m}((-1)^k*binomial(m-1,k-1)*binomial(3*(n-m)-k-1,n-m-k)), T(n,n)=1.at n=48A271460