a(n) = (3*n + 4)*Pochhammer(n, 4) / 4!.

Terms

a(0) =0a(1) =7a(2) =50a(3) =195a(4) =560a(5) =1330a(6) =2772a(7) =5250a(8) =9240a(9) =15345a(10) =24310a(11) =37037a(12) =54600a(13) =78260a(14) =109480a(15) =149940a(16) =201552a(17) =266475a(18) =347130a(19) =446215a(20) =566720a(21) =711942a(22) =885500a(23) =1091350a(24) =1333800a(25) =1617525a(26) =1947582a(27) =2329425a(28) =2768920a(29) =3272360