-312

Appears in sequences

• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=9A006352
• Low temperature antiferromagnetic susceptibility for cubic lattice.at n=7A007217
• Discriminants of quadratic number fields Q(sqrt -n) for n squarefree.at n=48A033197
• Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=48A051356
• Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=13A055103
• Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).at n=11A057383
• Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).at n=19A076792
• Expansion of 1/( (1-x)*(1 + x^2 + x^3) ).at n=32A077889
• Expansion of (1-x)^(-1)/(1+x-2*x^2-x^3).at n=11A077897
• Expansion of reciprocal of Hauptmodul for Gamma_0(18).at n=47A092848
• Sum_{k=1..2*n-1} J(4*n,k)*k, where J(i,j) is the Jacobi symbol.at n=50A097542
• a(n) = Sum[d|n, d==1 (mod 3), d^2] - Sum[d|n, d==2 (mod 3), d^2].at n=19A103440
• Expansion of theta_4(q)^4 - theta_2(q)^4, where theta_2 and theta_4 are the Jacobi theta series.at n=9A103640
• Expansion of k(q) = r(q) * r(q^2)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=61A112274
• Expansion of 1 + k(q) = 1 + r(q) * r(q^2)^2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=62A112803
• G.f.: (x - 1)/(x^5 - x^3 - x^2 - x - 1).at n=39A115412
• Number triangle T(n,k)=sum{i=0..n, (-1)^(n-i)*C(n,i)*sum{j=0..i-k, C(k,2j)*C(i-k,2j)*2^j}}.at n=49A119331
• Riordan array (-sqrt(4*x^2+8*x+1)+2*x+2, (sqrt(4*x^2+8*x+1)-2*x-1)/2).at n=17A121575
• a(n) = -5*a(n-1) + 8*a(n-2) + 6*a(n-3) - 4*a(n-4).at n=5A123188
• Triangle read by rows: T(n,k) is the coefficient of x^k in the polynomial p[n,x] defined by p[ -1,x]=0, p[0,x]=1, p[1,x]=-x, p[n,x]=x*p[n-1,x]-(n-1)*p[n- 2,x]+(n-2)*p[n-3,x] for n>=2 (0<=k<=n).at n=50A123730