G.f.: A(x,y,z) = Sum_{n>=0} ((2n)!/n!^2)*[Sum_{k=0..2n} T(n,k)*z^k]*x^(2n)*y^n/(1-x-xy)^(4n+1) where A(x,y,x+xy) = Sum_{n>=0, k=0..n} C(n,k)^4*x^n*y^k at z = x+xy; this is the triangle of coefficients T(n,k), read by rows.

A187056

G.f.: A(x,y,z) = Sum_{n>=0} ((2n)!/n!^2)*[Sum_{k=0..2n} T(n,k)*z^k]*x^(2n)*y^n/(1-x-xy)^(4n+1) where A(x,y,x+xy) = Sum_{n>=0, k=0..n} C(n,k)^4*x^n*y^k at z = x+xy; this is the triangle of coefficients T(n,k), read by rows.

Terms

    a(0) =1a(1) =7a(2) =4a(3) =1a(4) =131a(5) =176a(6) =96a(7) =16a(8) =1a(9) =3067a(10) =6588a(11) =5895a(12) =2416a(13) =477a(14) =36a(15) =1a(16) =79459a(17) =235456a(18) =298816a(19) =197824a(20) =73120a(21) =14656a(22) =1504a(23) =64a(24) =1a(25) =2181257a(26) =8252300a(27) =13668975a(28) =12563200a(29) =6966400

External references