-4032

Appears in sequences

• Expansion of Product_{m>=1} (1+m*q^m)^-32.at n=3A022724
• a(n) = 8^n - n^12.at n=2A024100
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in increasing order).at n=30A053124
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in decreasing order).at n=33A053125
• Triangle read by rows, T(n,k) = 2^(n-k)*[x^k] Euler_polynomial(n, x), for n >= 0, k >= 0.at n=60A081733
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1+x) - x^2*(1+x)^2 + xy*f(x,y)^2.at n=50A086612
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1+x) - x^2*(1+x)^3 + xy*f(x,y)^3.at n=39A086634
• Triangle L, read by rows, equal to the matrix log of A118435, with the property that L^2 consists of a single diagonal (two rows down from the main diagonal).at n=50A118441
• T(n, m) = 2^m * binomial(-m, n), for 0 <= m <= n, n >= 0, triangle read by rows.at n=20A122496
• Triangle T(n,k) = k*A053120(n,k).at n=42A136160
• Coefficients for rewriting generalized falling factorials into ordinary falling factorials.at n=34A136656
• Coefficients of polynomials P(n,x):=-2+P(n-1,x)^2, where P(0,x)=x-2.at n=22A158982
• Triangle read by rows: T(n,k) = (-1)^(n-k) * r16(n-k) * 2^(3*b(k)) * sigma_3(O(k)), for k=1 to n, for n>=1 (see comments for terms used).at n=19A193354
• a(n) = (-2)^n * Euler_polynomial(n,1) * binomial(2*n,n).at n=5A214447
• Coefficient triangle of the Hermite-Bell polynomials for power -2.at n=23A215216
• a(n) = 5*a(n-1) - 6*a(n-2) + a(n-3) with a(0)=1, a(1)=0, a(2)=-2.at n=8A215695
• Expansion of phi(x)^6 * phi(-x)^2 in powers of x where phi() is a Ramanujan theta function.at n=12A291124
• Expansion of e.g.f. 1 / (BesselI(0,2*x) + BesselI(1,2*x)).at n=10A308849
• Irregular triangle where T(n,k) is the coefficient of p(y) in n! * Sum_{i1 < ... < in} (x_i1 * ... * x_in), where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k).at n=51A319192
• Signed version of the partition array A036039 (signed M_2 multinomial numbers).at n=50A324254