a(n) is the floor of the average of the 1st moment of all previous entries.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =9a(7) =17a(8) =32a(9) =60a(10) =114a(11) =218a(12) =418a(13) =803a(14) =1549a(15) =2995a(16) =5802a(17) =11263a(18) =21900a(19) =42648a(20) =83163a(21) =162366a(22) =317352a(23) =620906a(24) =1215941a(25) =2383244a(26) =4674825a(27) =9176508a(28) =18025284a(29) =35429006