Question: Find the coefficients of a recurrence relation

I have a question:

let t(n)=sum( (binomial(n,j))^4, j=0..n )  , t(-1)=0, t(0)=1

and (n+1)^3 *t(n+1)=(2n+1)*(a*n^2+a*n+b)*t(n)+n*(c*n^2+d)*t(n-1)             (1)

I want to Print(a,b,c,d) so that t(n) satisfies the recurrence relation (1)  where a,b,c,d are integers and their ranges are from

-30 to 30.

Please help!

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