-60480

Appears in sequences

• Expansion of (1-x)/(1+2*x+2*x^2-2*x^3).at n=17A078067
• Signed variant of A077012.at n=39A078921
• Irregular triangle of coefficients of a partition transform for direct Lagrange inversion of an o.g.f., complementary to A134685 for an e.g.f.; normalized by the factorials, these are signed, refined face polynomials of the associahedra.at n=23A133437
• Triangle of the coefficient [x^k] of the polynomial 2^n*s_n(x) generated by exp(x*(1 - sqrt(1+t^2))/t) = Sum_{n>=0} s_n(x)*t^k/k! in row n, column k.at n=50A137378
• Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the first of two parts).at n=45A138133
• Triangle T(n,k) with the coefficient [x^k] (n+1)!* C(n,x), in row n, column k, where C(.,.) are the Bernoulli twin number polynomials of A129378.at n=37A140333
• Triangle T(n, k) = H(n, k+1) - 2*H(n, k) - H(n, k-1), where H(n, k) = A060821(n+3, k), read by rows.at n=15A140873
• Triangle read by rows: the coefficient [t^n x^k] of n!*(n+2)! *exp(x*t) *(t*(1-2*exp(t))-2*exp(t)) / (2*(1-exp(t))), in row n, k=0..n+1.at n=44A176989
• Expansion of b(q)^3 - 3*c(q)^3 in powers of q where b(), c() are cubic AGM theta functions.at n=29A231961
• Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k).at n=32A244117
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k).at n=32A244133
• Triangle read by rows: T(n,k) = logarithmic polynomial G_k^(n)(x) evaluated at x=1.at n=41A260322
• Triangle read by rows: T(n,k) = logarithmic polynomial A_k^(n)(x) evaluated at x=1.at n=51A260324
• E.g.f.: exp(x^3/(x^4 - 1)).at n=9A293568
• a(n) = Product_{k=0..n-1} (3*n-4*k).at n=6A384241
• Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^j * binomial(k,j) * (2-j)^n.at n=43A391068