A triangle of polynomial coefficients: q(x,n)=-((x - 1)^(2*n + 1)/x^n)*Sum[(2*k + n)^n*Binomial[k, n]*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).
A155952
A triangle of polynomial coefficients: q(x,n)=-((x - 1)^(2*n + 1)/x^n)*Sum[(2*k + n)^n*Binomial[k, n]*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).
Terms
- a(0) =2a(1) =4a(2) =4a(3) =48a(4) =48a(5) =728a(6) =232a(7) =232a(8) =728a(9) =20752a(10) =5312a(11) =1632a(12) =5312a(13) =20752a(14) =759132a(15) =168684a(16) =39864a(17) =39864a(18) =168684a(19) =759132a(20) =34016320a(21) =5788288a(22) =3904448a(23) =-2262272a(24) =3904448a(25) =5788288a(26) =34016320a(27) =1801010416a(28) =223429840a(29) =253864944
External references
- oeis: A155952