Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(4,n).

A132458

Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(4,n).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =1a(4) =24a(5) =200a(6) =1000a(7) =3675a(8) =10976a(9) =28224a(10) =64800a(11) =136125a(12) =266200a(13) =490776a(14) =861224a(15) =1449175a(16) =2352000a(17) =3699200a(18) =5659776a(19) =8450649a(20) =12346200a(21) =17689000a(22) =24901800a(23) =34500851a(24) =47110624a(25) =63480000a(26) =84500000a(27) =111223125a(28) =144884376a(29) =186924024

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