"BGJ" (reversible, element, labeled) transform of 0,1,1,1...

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =11a(6) =16a(7) =57a(8) =85a(9) =4027a(10) =7936a(11) =35663a(12) =150074a(13) =408201a(14) =31552977a(15) =80601874a(16) =428024797a(17) =2025257363a(18) =12785194336a(19) =40188554559