Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026374.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =6a(5) =11a(6) =20a(7) =33a(8) =59a(9) =104a(10) =178a(11) =314a(12) =549a(13) =952a(14) =1669a(15) =2913a(16) =5074a(17) =8872a(18) =15482a(19) =27007a(20) =47172a(21) =82325a(22) =143675a(23) =250848a(24) =437822a(25) =764198a(26) =1334041a(27) =2328512a(28) =4064457a(29) =7094833