-1296

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^12.at n=23A000735
• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=34A006352
• Generalized Stirling number triangle of first kind.at n=6A051151
• Expansion of 1/(1+2*x-2*x^2+2*x^3).at n=7A077984
• McKay-Thompson series of class 8c for the Monster group.at n=9A112145
• Triangle read by rows: T[n, m] = Sum[m^3 - 3*m^2*k + 3*m*k^2 - k^3, {k, 0, n - 1}] + m^4.at n=45A121721
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=21A123963
• G.f.: A(x) = Product_{n>=1} [ (1-x)^2*(1 + 2x + 3x^2 +...+ n*x^(n-1)) ].at n=15A129355
• Expansion of K(k) * (6 * E(k) - (1 + 4*k'^2) * K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).at n=34A143337
• Hankel transform of expansion of 1/c(x)^3, c(x) the g.f. of A000108.at n=34A144701
• E.g.f.: A(x,y) = LambertW(x*y*exp(x))/(x*y*exp(x)), as a triangle of coefficients T(n,k) = [x^n*y^k/n! ] A(x,y), read by rows.at n=20A161628
• a(n) = -(-1)^n * n^2.at n=35A162395
• Totally multiplicative sequence with a(p) = 9*(p-3) for prime p.at n=37A167319
• Antidiagonal expansion of rational polynomial with factors: p(x,n) = If[n == 0, 1/(1 - x), x*ChebyshevU[n, x]/ChebyshevT[n + 1, x]].at n=33A173293
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=38A176602
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=42A176602
• G.f.: Product_{n>=1} ((1-x^n)/(1+x^n))^(2*n).at n=14A216406
• Expansion of q * f(-q^2)^12 + 8 * q^2 * f(-q^4)^12 in powers of q where f() is a Ramanujan theta function.at n=46A227239
• Expansion of b(q)^3 - (1/3)*c(q)^3 in powers of q where b(), c() are cubic AGM theta functions.at n=10A231962
• Alternating sum of hexagonal pyramidal numbers.at n=15A266677