a(0)=1. a(n+1)=2*a(n)-A130151(n).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =7a(6) =15a(7) =29a(8) =57a(9) =113a(10) =227a(11) =455a(12) =911a(13) =1821a(14) =3641a(15) =7281a(16) =14563a(17) =29127a(18) =58255a(19) =116509a(20) =233017a(21) =466033a(22) =932067a(23) =1864135a(24) =3728271a(25) =7456541a(26) =14913081a(27) =29826161a(28) =59652323a(29) =119304647