Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)*a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)*(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].

A144457

Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)*a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)*(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].

Terms

    a(0) =1a(1) =-1a(2) =1a(3) =-3a(4) =-8a(5) =3a(6) =-15a(7) =-119a(8) =-217a(9) =15a(10) =-105a(11) =-1574a(12) =-7440a(13) =-10954a(14) =105a(15) =-945a(16) =-22679a(17) =-194646a(18) =-702874a(19) =-892281a(20) =945a(21) =-10395a(22) =-363824a(23) =-4885615a(24) =-31288480a(25) =-94892945a(26) =-108046896a(27) =10395a(28) =-135135a(29) =-6486479

External references