-438

Appears in sequences

• Magnetization series for face-centered cubic lattice.at n=18A003196
• Derivative of log of A002126.at n=33A023901
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=43A068762
• Sum_{i=0..n} Sum_{j=0..i} a(j) * a(i-j) = (-11)^n.at n=3A085457
• Expansion of psi(-x)^6 in powers of x where psi() is a Ramanujan theta function.at n=15A213791
• Expansion of f(-x^1, -x^7) * f(-x^2, -x^6) / (f(-x^3, -x^5) * f(-x^4, -x^4)) in powers of x where f(, ) is Ramanujan's general theta function.at n=46A226559
• Expansion of (b(q) * c(q^3) / 3)^2 in powers of q where b(), c() are cubic AGM theta functions.at n=10A242042
• Expansion of f(-x^3, -x^5)^2 / (psi(-x) * psi(x^2)) in powers of x where psi() is a Ramanujan theta function and f(, ) is Ramanujan's general theta functions.at n=47A245433
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=35A255644
• Expansion of phi(-x^9) * f(-x^3)^2 / f(-x^2)^3 in powers of x where f(), phi() are Ramanujan theta functions.at n=15A298733
• G.f.: Sum_{n>=0} (x^(2*n-1) + 1)^n * x^n / (1 + x^(2*n+1))^(n+1), an even function.at n=33A326602
• T(j,k) are the numerators s in the representation R = s/t + (2*sqrt(3)/Pi)*u/v of the resistance between two nodes separated by the distance (j,k) in an infinite triangular lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= floor(j/2) is an irregular triangle read by rows.at n=15A355585
• a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(n+1,2*k+1) * Catalan(k).at n=14A360048
• Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - 9*x*(1 - x)^k)^(1/3).at n=50A361840
• Expansion of g.f. (theta_3(x) - 1)/2 * Product_{n>=1} (1 - x^(4*n-2)) / (1 - x^(4*n)).at n=46A370153