a(n) = (n+1)*binomial(n+4, 4).

Terms

a(0) =1a(1) =10a(2) =45a(3) =140a(4) =350a(5) =756a(6) =1470a(7) =2640a(8) =4455a(9) =7150a(10) =11011a(11) =16380a(12) =23660a(13) =33320a(14) =45900a(15) =62016a(16) =82365a(17) =107730a(18) =138985a(19) =177100a(20) =223146a(21) =278300a(22) =343850a(23) =421200a(24) =511875a(25) =617526a(26) =739935a(27) =881020a(28) =1042840a(29) =1227600