-268

Appears in sequences

• Magnetization series for diamond.at n=6A002930
• Partition function coefficients for square lattice spin 5/2 Ising model.at n=55A010109
• Partition function coefficients for square lattice spin 3 Ising model.at n=67A056620
• McKay-Thompson series of class 12I for the Monster group.at n=45A058487
• McKay-Thompson series of class 18e for the Monster group.at n=19A058543
• McKay-Thompson series of class 18h for Monster.at n=57A058546
• G.f. satisfies: A(x) = 1/(1 + x*A(x^4)) and also the continued fraction: 1 + x*A(x^5) = [1; 1/x, 1/x^4, 1/x^16, 1/x^64, ..., 1/x^(4^(n-1)), ...].at n=39A101914
• a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 3, a(1) = 4, a(2) = 0.at n=14A105576
• McKay-Thompson series of class 24G for the Monster group.at n=44A112161
• McKay-Thompson series of class 36f for the Monster group.at n=45A112176
• Matrix inverse of triangle A098568, where A098568(n, k) = C( (k+1)*(k+2)/2 + n-k-1, n-k) for n>=k>=0.at n=22A121434
• Triangle read by rows: row n gives coefficients of increasing powers of x in characteristic polynomial of the matrix (-1)^n*M_n, where M_n is the tridiagonal matrix defined in the Comments line.at n=52A124037
• Riordan array ((1+3*x-sqrt(1+2*x+9*x^2))/(2*x),(1+3*x-sqrt(1+2*x+9*x^2))/2).at n=41A125694
• Expansion of phi(q^3) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=13A132002
• Expansion of psi(-q) / f(q^3) where psi(), f() are Ramanujan theta functions.at n=39A139136
• Expansion of phi(q) / phi(q^3) in powers of q where phi() is a Ramanujan theta function.at n=39A139137
• Triangle T(n,m) of the coefficients [x^m] of the polynomial ((x-1)*(x+2)*(x+1))^n, 0<=m<=3n.at n=45A166235
• A symmetrical triangular sequence:t(n,m)=2*Eulerian[n, m - 1] - (Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m)^2.at n=12A174160
• First differences of A175628.at n=32A175717
• a(n) = -a(n-1) + a(n-2) - F(-n) + 1, a(0) = 1, a(1) = -1, where F() = Fibonacci numbers A000045.at n=9A175722