A triangular sequence in which the Prime[n]^(2*n) is treated like a variable expansion: (1-Prime[n])^(2*n) with the base Prime[0] is defined as one (in the Goldbach tradition) to lower the coefficients: t(n,m)=(-1)^m*Prime[n]^(2*n - m)*Binomial[2*n, m].

A141024

A triangular sequence in which the Prime[n]^(2*n) is treated like a variable expansion: (1-Prime[n])^(2*n) with the base Prime[0] is defined as one (in the Goldbach tradition) to lower the coefficients: t(n,m)=(-1)^m*Prime[n]^(2*n - m)*Binomial[2*n, m].

Terms

    a(0) =1a(1) =4a(2) =-4a(3) =1a(4) =81a(5) =-108a(6) =54a(7) =-12a(8) =1a(9) =15625a(10) =-18750a(11) =9375a(12) =-2500a(13) =375a(14) =-30a(15) =1a(16) =5764801a(17) =-6588344a(18) =3294172a(19) =-941192a(20) =168070a(21) =-19208a(22) =1372a(23) =-56a(24) =1a(25) =25937424601a(26) =-23579476910a(27) =9646149645a(28) =-2338460520a(29) =372027810

External references