A triangle of coefficients of a Moebius-transformed Pascal triangle as a sum: b(x,y,n)=Sum[Binomial[n,i]*x^i*y^(n-i),{i,0,n}]; transforms: x'->(a1*x + b1)/(c1*x + d1); y'->(a2*y + b2)/(c2*y + d2); b1(x,y,n)=(c1*x + b1)^(k)*(c2*y + d2)^(k)*b(x',y',n); f(x,y,z,n)=b1(x,y,n)+b1(y,z,n)+b1(z,x,n).
A139815
A triangle of coefficients of a Moebius-transformed Pascal triangle as a sum: b(x,y,n)=Sum[Binomial[n,i]*x^i*y^(n-i),{i,0,n}]; transforms: x'->(a1*x + b1)/(c1*x + d1); y'->(a2*y + b2)/(c2*y + d2); b1(x,y,n)=(c1*x + b1)^(k)*(c2*y + d2)^(k)*b(x',y',n); f(x,y,z,n)=b1(x,y,n)+b1(y,z,n)+b1(z,x,n).
Terms
- a(0) =3a(1) =-16a(2) =4a(3) =88a(4) =-48a(5) =8a(6) =-496a(7) =432a(8) =-144a(9) =16a(10) =2848a(11) =-3456a(12) =1728a(13) =-384a(14) =32a(15) =-16576a(16) =25920a(17) =-17280a(18) =5760a(19) =-960a(20) =64a(21) =97408a(22) =-186624a(23) =155520a(24) =-69120a(25) =17280a(26) =-2304a(27) =128a(28) =-576256a(29) =1306368
External references
- oeis: A139815