The number phi_3(n) of Frobenius partitions that allow up to 3 repetitions of an integer in a row.

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =11a(5) =18a(6) =31a(7) =49a(8) =78a(9) =119a(10) =180a(11) =267a(12) =394a(13) =567a(14) =813a(15) =1151a(16) =1616a(17) =2244a(18) =3099a(19) =4240a(20) =5769a(21) =7790a(22) =10462a(23) =13965a(24) =18552a(25) =24502a(26) =32223a(27) =42176a(28) =54972a(29) =71340