a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is not congruent to 3, a(n)=a(n-1)+a(n/3) if n is congruent to 3.

A078913

a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is not congruent to 3, a(n)=a(n-1)+a(n/3) if n is congruent to 3.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =11a(7) =17a(8) =19a(9) =36a(10) =55a(11) =58a(12) =113a(13) =171a(14) =176a(15) =347a(16) =523a(17) =529a(18) =1052a(19) =1581a(20) =1592a(21) =3173a(22) =4765a(23) =4782a(24) =9547a(25) =14329a(26) =14348a(27) =28677a(28) =43025a(29) =43061

External references