a(n) = a(n-1) + a(n-3) unless a(n-1) and a(n-3) are both even in which case a(n) = (a(n-1) + a(n-3))/2, with a(0) = a(1) = a(2) = 1.

A341312

a(n) = a(n-1) + a(n-3) unless a(n-1) and a(n-3) are both even in which case a(n) = (a(n-1) + a(n-3))/2, with a(0) = a(1) = a(2) = 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =3a(7) =6a(8) =5a(9) =8a(10) =7a(11) =12a(12) =10a(13) =17a(14) =29a(15) =39a(16) =56a(17) =85a(18) =124a(19) =90a(20) =175a(21) =299a(22) =389a(23) =564a(24) =863a(25) =1252a(26) =908a(27) =1771a(28) =3023a(29) =3931

External references