Greatest exponent in prime-power factorization of p(n)-3.

Terms

a(0) =0a(1) =0a(2) =1a(3) =2a(4) =3a(5) =1a(6) =1a(7) =4a(8) =2a(9) =1a(10) =2a(11) =1a(12) =1a(13) =3a(14) =2a(15) =2a(16) =3a(17) =1a(18) =6a(19) =2a(20) =1a(21) =2a(22) =4a(23) =1a(24) =1a(25) =2a(26) =2a(27) =3a(28) =1a(29) =1