-1536

Appears in sequences

• Image of Euler totient function (A000010) 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=40A056228
• Array of coefficients of polynomials p(n,x) = 2^(n-1)*Product_{i=0..n} (x - cos(i*Pi/n)) of degree (n+1) with P(-1,x) = 1, P(0,x) = 0.at n=75A076626
• Expansion of (1-x^2)/(1+2x).at n=11A110164
• Number triangle (1/((1-x)(1-2x)),-x)-(x/((1-x)(1-2x)),-x^2) (expressed in the notation of Riordan arrays).at n=67A115450
• Triangle T, read by rows, where matrix power T^4 has powers of 4 in the secondary diagonal: [T^4](n+1,n) = 4^(n+1), with all 1's in the main diagonal and zeros elsewhere.at n=12A117254
• Expansion of theta_4(q)^2*theta_4(q^2)^4 in powers of q.at n=21A120030
• Expansion of theta_4(q)^2*theta_4(q^2)^4 in powers of q.at n=42A120030
• Tripartite straight linked graphs as matrices producing polynomials and their triangular sequence: Matrix model (A120658 ): M(n,m,9)={{0, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1, 1, 0}} This model is straight hyperconnections between 3 generalized K(n) complete graphs.at n=79A123590
• Expansion of q * (chi(-q) / chi(-q^4))^8 in powers of q where chi() is a Ramanujan theta function.at n=7A134747
• a(n) = b(n+1)-2b(n) where b() is A134812.at n=20A134813
• Triangle T(n,k) = k*A053120(n,k).at n=33A136160
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,2}(x) with 0 omitted (exponents in increasing order).at n=37A136388
• A triangular sequence of coefficients based on an expansion of a Skew Catenoid of Matthius Weber like Sheffer expansion function: g(t) = x*(3 + t^2)/(t^2 - 1); f(t) = (3 + t^2)/(t^2 - 1); p(x,t) = Exp[x*(t)]*(1 - f(t)2).at n=10A137528
• A triangular sequence of coefficients of the expansion of a Green's function for the radial Morse potential with x being the kinetic energy and t being the radius: Hamiltonian; H=K+V=x+Exp[-2*t]-2*Exp[t];G*Exp[t*x)=Exp[x*t]/(t-H); p(t,x)=Exp[t*x]/(t-x-Exp[-2*t] + 2*Exp[-t]).at n=43A138160
• Triangle read by rows: expansion of (1 + 3*x^2)/(1 - x*(2*y-x)).at n=61A138476
• Expansion of (eta(q)^2 * eta(q^4)^4 / eta(q^2)^3)^2 in powers of q.at n=41A138501
• Expansion of (eta(q^2)^9 / (eta(q)^2 * eta(q^4)^4))^2 in powers of q.at n=42A138504
• Expansion of (2*x-1)*(x^2-x-1) / ( 1-2*x^2+2*x^4 ).at n=38A138614
• Triangle of coefficients of x^n*H_n(x + 1/x), where H_n(x) is the Hermite polynomial of order n.at n=66A143507
• Triangle of coefficients of x^n*H_n(x + 1/x), where H_n(x) is the Hermite polynomial of order n.at n=78A143507