-1248

Appears in sequences

• a(n) = Sum_{d|n, d == 1 mod 4} d^2 - Sum_{d|n, d == 3 mod 4} d^2.at n=34A002173
• Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice.at n=9A002915
• Expansion of eta(q^2)^12 / theta_3(q)^3 in powers of q.at n=56A029769
• McKay-Thompson series of class 12d for Monster.at n=17A058492
• McKay-Thompson series of class 24a for Monster.at n=17A058584
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=12A123963
• Expansion of q^(-1/2) * (eta(q)^4 * eta(q^4)^2 / eta(q^2)^3)^2 in powers of q.at n=17A138502
• Expansion of ((phi(q) * phi(-q^2)^2)^2 - 1) / 4 in powers of q where phi() is a Ramanujan theta function.at n=34A138505
• Expansion of (phi(-q) / phi(-q^5))^2 in powers of q where phi() is a Ramanujan theta function.at n=31A138518
• Expansion of (phi(q) / phi(q^9))^2 in powers of q where phi() is a Ramanujan theta function.at n=71A164613
• Coefficient array of numerator polynomials of the ordinary generating functions for the alternating sums of powers for the numbers 1,2,...,2*n+1.at n=12A196848
• Expansion of (1/q) * phi(-q) * phi(q^4) / (phi(q) * psi(q^8)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=11A215346
• Expansion of (phi(-q)^3 / phi(-q^3))^2 in powers of q where phi() is a Ramanujan theta function.at n=21A229616
• Expansion of q^(-1) * phi(q^2)^2 / (phi(q) * psi(q^8)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=11A232392
• Expansion of (elliptic_E / elliptic_K)^(1/2) in powers of q.at n=7A261977
• G.f. satisfies: A(x) = 1 + 2*x*AGM(A(x)^2, A(-x)^2).at n=13A272822
• Triangle T(n,m) (n >= 1, 0 <= m < n) giving coefficients of (n-1)! P_n, where P_n is the polynomial formula for row n of A213086.at n=37A273528
• Expansion of Product_{n>=1} (1 + (16*x)^n)^(-1/4).at n=3A303131
• Expansion of Sum_{k>=1} k * x^k * (1 - x^k) / (1 + x^k)^3.at n=23A326238
• a(n) = A344998(n) - A344999(n).at n=59A345043