a(n) = binomial(n+7, 7)*(n+4)/4.

Terms

a(0) =1a(1) =10a(2) =54a(3) =210a(4) =660a(5) =1782a(6) =4290a(7) =9438a(8) =19305a(9) =37180a(10) =68068a(11) =119340a(12) =201552a(13) =329460a(14) =523260a(15) =810084a(16) =1225785a(17) =1817046a(18) =2643850a(19) =3782350a(20) =5328180a(21) =7400250a(22) =10145070a(23) =13741650a(24) =18407025a(25) =24402456a(26) =32040360a(27) =41692024a(28) =53796160