a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n^2+4*n+37)/5040.

Terms

a(0) =1a(1) =7a(2) =29a(3) =92a(4) =246a(5) =582a(6) =1254a(7) =2508a(8) =4719a(9) =8437a(10) =14443a(11) =23816a(12) =38012a(13) =58956a(14) =89148a(15) =131784a(16) =190893a(17) =271491a(18) =379753a(19) =523204a(20) =710930a(21) =953810a(22) =1264770a(23) =1659060a(24) =2154555a(25) =2772081a(26) =3535767a(27) =4473424a(28) =5616952a(29) =7002776