-2916

Appears in sequences

• McKay-Thompson series of class 3B for the Monster group.at n=7A007244
• McKay-Thompson series of class 3B for the Monster group with a(0) = -12.at n=7A030182
• McKay-Thompson series of class 3B for the Monster group with a(0) = -3.at n=7A045481
• G.f. A(x) has the property that the first (n+1) terms of A(x)^(n+1) form the n-th row polynomial R_n(y) of triangle A097190 and satisfy R_n(1/3) = 9^n for all n>=0.at n=5A097191
• G.f. defined as the limit: A(x) = lim_{n->oo} F(n)^(1/3^(n-1)) where F(n) is the n-th iteration of: F(0) = 1, F(n) = F(n-1)^3 + (3x)^((3^n-1)/2) for n >= 1.at n=7A101192
• Expansion of 1/(3*x^2 - 3*x + 1)^2.at n=9A115052
• Bond series for first perpendicular moment of 4.8 (bathroom tile) lattice.at n=20A120556
• G.f. A(x) satisfies A(x) = 1 + 9*x*A(x)^(1/3).at n=7A135864
• Totally multiplicative sequence with a(p) = 9*(p-3) for prime p.at n=49A167319
• q-expansion of modular form t_{3B}.at n=7A198955
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 411", based on the 5-celled von Neumann neighborhood.at n=37A271892
• G.f.: Sum_{n>=1} Sum_{k=0..n} binomial(n,k) * x^(k^2) * (x^n - x^k)^(n-k), ignoring the constant term.at n=43A292808
• Triangle read by rows: T(0,0) = 1; T(n,k) = -2*T(n-1,k) + 3*T(n-2,k-1) for 0 <= k <= floor(n/2); T(n,k)=0 for n or k < 0.at n=41A302747
• Triangle read by rows of coefficients in expansion of (3-2x)^n, where n is a nonnegative integer.at n=22A303901
• Triangle read by rows: T(0,0) = 1; T(n,k) = 3*T(n-1,k) - 2*T(n-2,k-1) for k = 0..floor(n/2); T(n,k)=0 for n or k < 0. Triangle of coefficients of Fermat polynomials.at n=17A303941
• Triangle read by rows of coefficients in expansions of (-2 + 3*x)^n, where n is nonnegative integer.at n=26A317498
• Triangle read by rows: T(0,0) = 1; T(n,k) = 3 T(n-1,k) - 2 * T(n-3,k-1) for k = 0..floor(n/3); T(n,k)=0 for n or k < 0.at n=16A317502
• G.f.: Sum_{n>=0} (x^(n+1) + i)^n / (1 + i*x^n)^(n+1), in which the constant term is taken to be 1.at n=36A323690