a(n) = 35*(n+1)*binomial(n+4, 7)/4.

Terms

a(0) =35a(1) =350a(2) =1890a(3) =7350a(4) =23100a(5) =62370a(6) =150150a(7) =330330a(8) =675675a(9) =1301300a(10) =2382380a(11) =4176900a(12) =7054320a(13) =11531100a(14) =18314100a(15) =28352940a(16) =42902475a(17) =63596610a(18) =92534750a(19) =132382250a(20) =186486300a(21) =259008750a(22) =355077450a(23) =480957750a(24) =644245875