p-INVERT of the Fibonacci sequence (A000045), where p(S) = (1 - S)^2.

Terms

a(0) =2a(1) =5a(2) =14a(3) =38a(4) =102a(5) =271a(6) =714a(7) =1868a(8) =4858a(9) =12569a(10) =32374a(11) =83058a(12) =212350a(13) =541219a(14) =1375570a(15) =3487384a(16) =8821170a(17) =22266413a(18) =56098206a(19) =141087934a(20) =354268502a(21) =888238903a(22) =2223968666a(23) =5561234916a(24) =13889778218a(25) =34652529473a(26) =86361653126a(27) =215021205770a(28) =534861620718