Number of binary carry-connected subsets of [n] containing n (for n > 0).

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =1a(5) =12a(6) =28a(7) =64a(8) =1a(9) =212a(10) =452a(11) =960a(12) =1972a(13) =4032a(14) =8128a(15) =16384a(16) =1a(17) =64284a(18) =129260a(19) =259904a(20) =520636a(21) =1043264a(22) =2087744a(23) =4177920a(24) =8381836a(25) =16768832a(26) =33541952a(27) =67092480a(28) =134201152a(29) =268419072