-1080

Appears in sequences

• Expansion of k/(4*q^(1/2)) in powers of q, where k defined by sqrt(k) = theta_2(0, q)/theta_3(0, q).at n=7A001938
• Ferromagnetic susceptibility series for f.c.c. lattice.at n=17A002924
• Inverse binomial transform of {1, primes}.at n=16A030016
• Expansion of (1-x)^(-1)/(1+x^2+2*x^3).at n=23A077890
• a(n) = (n+1)*(2-n)/2.at n=47A080956
• McKay-Thompson series of class 16d for the Monster group.at n=49A082304
• Triangle, read by rows, that equals the matrix inverse of A071207 when treated as a lower triangular matrix.at n=24A089962
• Triangle T read by rows: coefficients of polynomials generating array A099597.at n=19A099599
• Triangular matrix, read by rows, equal to the matrix square of A102225, such that the first differences of row k forms row (k+1) of A102225.at n=22A102228
• Column 1 of triangular matrix A102228, in which the first differences of row k forms row (k+1) of its matrix square-root (A102225).at n=6A102229
• Triangle T(n,k) read by rows: inverse of the matrix PE = exp(P)/exp(1) given in A011971.at n=58A129334
• Triangular sequence produced from symmetrical power of two matrices of the general type: M={{1, 3, 7, 31}, {3, 1, 3, 7}, {7, 3, 1, 3}, {31, 7, 3, 1}} with symmetrical primes of the type 2^n-1 A000668 instead of the 2^n of A129964.at n=12A130617
• A triangular sequence from an expansion of coefficients of the function: p(x,t)=Exp(x*g*(t))*(1-f(t)^2);f(t)=1/Sqrt[1 - 2*t^2 + t^4];g(t)=t. (Based on the Weierstrass functions of Jenkins-Serrin minimal surface.)at n=14A137523
• Triangle of coefficients associate with the expansion of the K_3 graph matric characteristic polynomial as a Sheffer sequence: M = {{0, 1, 1}, {1, 0, 1}, {1, 1, 0}} f(t)=-t^3+3t+2 p(x,t)=Exp[x,t)/(2*t^3+3*t^2-1)=exp(x*t)(t^3*f(1/t)).at n=16A137943
• Eigentriangle of (A007318)^(-1); row sums = A014182, exp(1-x-exp(-x)).at n=62A143987
• A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=21A152575
• Triangle read by rows: the coefficient [x^k] of the polynomial Product_{i=1..n} (3^(i-1)-x) in row n, column k, 0 <= k <= n.at n=11A157783
• a(n) = Sum_{i=1..n-1} (-1)^i*binomial(n, i-1)*binomial(n, i)*binomial(n, i+1).at n=5A158194
• Expansion of a(q) * b(q)^2 in powers of q where a(), b() are cubic AGM theta functions.at n=11A181976
• G.f.: q-Cosh(x,q)^2 - q-Sinh(x,q)^2 at q=-x.at n=47A198199