-7168
domain: Z
Appears in sequences
- Triangle of coefficients of Euler polynomials 2^n*E_n(x) (exponents in increasing order).at n=39A004174
- Triangle of coefficients of Euler polynomials 2^n*E_n(x) (exponents in decreasing order).at n=41A004175
- Coefficients of the solution to a functional equation.at n=9A093114
- Triangle read by rows: nonzero coefficients of polynomials 2^n*E(n,x), with E the Euler polynomials.at n=27A099932
- Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,2}(x) with 0 omitted (exponents in increasing order).at n=51A136388
- Triangle of coefficients of Hermite-like analog of A053120 Chebyshev's T(n, x) polynomials (powers of x in increasing order): p(x,n)=2*x*p(x,n-1)-n*p(x,n-2).at n=63A136665
- A triangle of coefficients from Hermite polynomials A060821 as {x,y},{y,z},{z,x} binomials reduced to x: f(x,y,n)=Sum[Coefficients(H(x,n))(i)*x^i*y^(n-1),{i,0,n}]; p(x,y,z)=f(x,y,n)+f(y,z,n)+f(z,x,n).at n=42A139583
- Alternated reading of A000302 and negated A002042.at n=11A140721
- Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k<n.at n=62A140876
- A triangular sequence based on second integer differential using columns n and rows m, in the ChebyshevT T(n,m): d20(n,m)=T(n+2,m)-2*T(n+1,m)+T(n,m); d02(n,m)=T(n,m+2)-2*T(n,m+1)+T(n,m); D2(n,m)=d20(n,m)+d02(n,m).at n=43A140877
- a(0)=1. a(n) = 2^(n-2)*(5-n), for n>0.at n=12A172160
- 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=26A193354
- Coefficients of (x^(1/4)*d/dx)^n for n positive integer.at n=33A223534
- Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as |i-j| is prime or not.at n=20A228638
- Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2*k) from Q(2*cos(Pi/(2*k))) related to the regular (2*k)-gon.at n=26A228782
- Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2*k) from Q(2*cos(Pi/(2*k))) related to the regular (2*k)-gon.at n=31A228782
- Triangle read by rows: T(0,0)=1; T(n,k) = 2*T(n-1,k)-2*T(n-1,k-1)+T(n-1,k-2), for k = 0, 1, ..., 2*n; T(n,k)=0 for n or k < 0.at n=52A304209
- Triangle read by rows: T(0,0) = 1; T(n,k) = 2*T(n-1,k) - 2*T(n-2,k-1) + T(n-3,k-2) for k = 0..floor(2*n/3); T(n,k)=0 for n or k < 0.at n=40A304213
- Coefficients of the columns generating polynomials of the JacobiTheta3 array A319574 multiplied by n!, triangle read by rows, T(n,k) for 0 <= k <= n.at n=43A319934
- a(1) = 1, a(2) = -1; for n > 2, a(n) is smallest magnitude nonzero integer which has not appeared such that the quadratic equation a(n-2)*x^2 + a(n-1)*x + a(n) = 0 has at least one integer root.at n=47A358462