-365

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=18A001484
• Coefficients of polynomials ( (1 -x +sqrt(x))^(n+1) - (1 -x -sqrt(x))^(n+1) )/(2*sqrt(x)).at n=40A061177
• Determinant of rank n matrix of 1..n^2 filled successively along antidiagonals.at n=26A069480
• Expansion of 1/sqrt(1 - 2*x + 5*x^2).at n=9A098331
• A Chebyshev transform of A099450 associated to the knot 7_7.at n=7A099451
• Triangle, read by rows, equal to the right-hand side of the triangle A084610, with row n listing the coefficients of (1+x-x^2)^n: T(n,k) = [x^(n+k)] (1+x-x^2)^n, for n>=k>=0.at n=45A104505
• G.f.: Product_{i>=1} (1 - 2*(-x)^i)/(1 - (-x)^i)^2.at n=25A104510
• Semiprime(n)*semiprime(n+3) - semiprime(n+1)*semiprime(n+2), where semiprime(n) is the n-th semiprime.at n=54A118780
• a(1)=-1; a(2)=-1; a(3)=-2; a(n) = 4*a(n-1) - 3*a(n-2) for n >= 4.at n=7A123183
• Expansion of 1/(1-x*(1-6*x)).at n=8A145934
• Scaled row sum zero vector recursion:s=3; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}.at n=29A152860
• A (1, 2) Somos-4 sequence associated to the elliptic curve E: y^2 + x*y - y = x^3 - x.at n=7A178621
• Sequence of coefficients arising in study of generating function for A067619.at n=29A186545
• a(n) = (-1)^(n-3)*binomial(n,3) - 1.at n=11A216414
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=6.at n=57A275640
• Solution to a(1) = 1 and Sum_y Product_i a(y_i) = 0 for each n > 1, where the sum is over all relatively prime or monic partitions of n.at n=52A302917
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2*x + (1+4*k)*x^2).at n=64A307860
• Expansion of Product_{k>0} (1+sqrt(1-4*x^k))/2.at n=8A309867
• Expansion of sqrt(2 / ( (1-6*x+25*x^2) * (1-5*x+sqrt(1-6*x+25*x^2)) )).at n=4A337394
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1+2*(k-4)*x+((k+4)*x)^2) * (1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)^2)) )).at n=19A337464