-459

Appears in sequences

• Expansion of Product_{m>=1} (1+q^m)^(-9).at n=5A022604
• a(n) = 12^n - n^7.at n=3A024147
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=33A074170
• Expansion of ((eta(q)eta(q^15))/(eta(q^3)eta(q^5)))^3 in powers of q.at n=22A095123
• Expansion of (1 - x + 2*x^2) / (1 - x^3 + x^4).at n=38A110062
• Inverse of renewal array for central trinomial numbers.at n=57A111963
• The discriminant of the characteristic polynomial of the O+ and O- submatrix for spin 3 of the nuclear electric quadrupole Hamiltonian is a perfect square for these values.at n=5A138976
• A000332(n) = a(n)*(3*a(n) - 1)/2.at n=54A145919
• A triangle sequence from matrix polynomials of a three symbol type {0, 1, 2}: c(i,k)= Floor[Mod[i/2^k, 2]]; M(d)=Table[If[Sum[c(n, k)*c(m, k), {k, 0, d - 1}] == 0, 1, If[Sum[c(n, k)*c(m, k), {k, 0, d - 1}] == 1, 2, 0]], {n, 0, d - 1}, {m, 0, d - 1}].at n=38A158418
• Expansion of a(q) * b(q)^2 in powers of q where a(), b() are cubic AGM theta functions.at n=8A181976
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of A203949.at n=49A203952
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=50A255644
• Partial sums of A257259: a(0) = 1; for n >= 1, a(n) = A257259(n) + a(n-1).at n=16A257805
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.at n=13A269875
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 291", based on the 5-celled von Neumann neighborhood.at n=13A271132
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 347", based on the 5-celled von Neumann neighborhood.at n=11A271300
• Triangle read by rows of coefficients of polynomials Q_n(x) = 2^(-n)*((x + sqrt(x*(x + 6) - 3) + 1)^n - (x - sqrt(x*(x + 6) - 3) + 1)^n)/sqrt(x*(x + 6) - 3).at n=70A271451
• Expansion of f(-x)^3 * f(-x^2) * chi(-x^3)^3 in powers of x where chi(), f() are Ramanujan theta functions.at n=30A280328
• Expansion of f(x)^3 * f(-x^2) * chi(x^3)^3 in powers of x where chi(), f() are Ramanujan theta functions.at n=30A280384
• a(n) = A033879(A276086(n)).at n=65A324654