Triangle read by rows: row n gives coefficients of increasing powers of x in the polynomial (-1)^n*p(n), where p(n) is defined as follows. Let f(n) = n*(n+1)/2, g(n) = f(n)+1; then p(-1) = 0, p(0) = 1 and for n >= 1, p(n) = (x - f(n))*p(n - 1) - g(n - 1)^2*p(n - 2).
A135049
Triangle read by rows: row n gives coefficients of increasing powers of x in the polynomial (-1)^n*p(n), where p(n) is defined as follows. Let f(n) = n*(n+1)/2, g(n) = f(n)+1; then p(-1) = 0, p(0) = 1 and for n >= 1, p(n) = (x - f(n))*p(n - 1) - g(n - 1)^2*p(n - 2).
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =-1a(4) =-4a(5) =1a(6) =-22a(7) =-7a(8) =10a(9) =-1a(10) =-171a(11) =148a(12) =58a(13) =-20a(14) =1a(15) =97a(16) =3238a(17) =-488a(18) =-237a(19) =35a(20) =-1a(21) =45813a(22) =30013a(23) =-28334a(24) =631a(25) =716a(26) =-56a(27) =1a(28) =1235816a(29) =-772641
External references
- oeis: A135049