-732

Appears in sequences

• Shifts left when Moebius transformation applied twice.at n=38A007551
• McKay-Thompson series of class 18C for the Monster group.at n=25A058533
• McKay-Thompson series of class 12B for the Monster group.at n=25A112148
• McKay-Thompson series of class 18C for the Monster group with a(0) = -3.at n=25A123676
• Expansion of q^(-1) * f(-q^3) * phi(-q^3) / (phi(-q^2) * psi(-q^9)) in powers of q where f(), phi(), psi() are Ramanujan theta functions.at n=25A186115
• McKay-Thompson series of class 12B for the Monster group with a(0) = 5.at n=25A187146
• McKay-Thompson series of class 12B for the Monster group with a(0) = -4.at n=25A187147
• McKay-Thompson series of class 12B for the Monster group with a(0) = -3.at n=25A187148
• G.f.: 1/(1 + x + 5*x^2 - x^3 + x^4).at n=9A199805
• Expansion of q * f(-q^2, -q^14) / f(-q, q^3) in powers of q where f(,) is Ramanujan's two-variable theta function.at n=52A214639
• McKay-Thompson series of class 18C for the Monster group with a(0) = -2.at n=25A215412
• McKay-Thompson series of class 18C for the Monster group with a(0) = 1.at n=25A215413
• Expansion of q * f(-q,-q^7)^2 / (phi(q^2) * psi(-q)) in powers of q where phi(), psi(), f(,) are Ramanujan theta functions.at n=25A224216
• Expansion of f(-q^3, -q^5)^2 / (psi(-q) * phi(q^2)) in powers of q where phi(), psi(), f() are Ramanujan theta functions.at n=26A245432
• Expansion of b(-q) * b(q^6) / (b(q^3) * b(q^12)) in powers of q where b() is a cubic AGM theta function.at n=24A258108
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 187", based on the 5-celled von Neumann neighborhood.at n=17A270676
• Sum of the inverse permutation of EKG-sequence, A064664, and its Dirichlet inverse, A323411.at n=62A323412
• Product_{n>=1} (1 + x^n)^a(n) = 1 + Sum_{n>=1} x^prime(n).at n=63A328777
• a(1) = 1; a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d), where A341512(n) = sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=45A347096
• a(n) = Sum_{k=1..n} (-1)^(k+1) * floor(n/(2*k-1))^k.at n=37A350167