Regular triangle, coefficients of the polynomial P(n)(x) = (-1)^(n+1)*(2*n+1)*binomial(2*n, n)*Sum_{i=0..n} x^i*binomial(n, i)/(n+i+1).
A327809
Regular triangle, coefficients of the polynomial P(n)(x) = (-1)^(n+1)*(2*n+1)*binomial(2*n, n)*Sum_{i=0..n} x^i*binomial(n, i)/(n+i+1).
Terms
- a(0) =-1a(1) =3a(2) =2a(3) =-10a(4) =-15a(5) =-6a(6) =35a(7) =84a(8) =70a(9) =20a(10) =-126a(11) =-420a(12) =-540a(13) =-315a(14) =-70a(15) =462a(16) =1980a(17) =3465a(18) =3080a(19) =1386a(20) =252a(21) =-1716a(22) =-9009a(23) =-20020a(24) =-24024a(25) =-16380a(26) =-6006a(27) =-924a(28) =6435a(29) =40040
External references
- oeis: A327809