Self-reciprocating sequence: the integer part of powers of the reciprocal sum.

Terms

a(0) =1a(1) =3a(2) =5a(3) =9a(4) =17a(5) =31a(6) =55a(7) =99a(8) =176a(9) =313a(10) =557a(11) =990a(12) =1759a(13) =3125a(14) =5553a(15) =9866a(16) =17531a(17) =31149a(18) =55346a(19) =98339a(20) =174729a(21) =310457a(22) =551617a(23) =980109a(24) =1741450a(25) =3094195a(26) =5497739a(27) =9768336a(28) =17356295a(29) =30838517