a(n) = Sum_{ k >= 0} binomial(n,5*k+3).

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =10a(6) =20a(7) =35a(8) =57a(9) =93a(10) =165a(11) =330a(12) =715a(13) =1574a(14) =3381a(15) =6995a(16) =13990a(17) =27370a(18) =53143a(19) =103702a(20) =204820a(21) =409640a(22) =826045a(23) =1669801a(24) =3368259a(25) =6765175a(26) =13530350a(27) =26985675a(28) =53774932a(29) =107232053