The sum of the sizes (positions) of fixed points over all compositions of n.

Terms

a(0) =1a(1) =1a(2) =4a(3) =8a(4) =19a(5) =41a(6) =89a(7) =189a(8) =398a(9) =830a(10) =1719a(11) =3539a(12) =7251a(13) =14797a(14) =30096a(15) =61044a(16) =123531a(17) =249501a(18) =503117a(19) =1013165a(20) =2037986a(21) =4095546a(22) =8223919a(23) =16502823a(24) =33097639a(25) =66349021a(26) =132954724a(27) =266337584a(28) =533388643a(29) =1067965265