The continued fraction of the constant r > sqrt(3) such that the partial quotients equal the integer floor of the powers of r.

A227233

The continued fraction of the constant r > sqrt(3) such that the partial quotients equal the integer floor of the powers of r.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =5a(4) =9a(5) =16a(6) =29a(7) =52a(8) =92a(9) =163a(10) =287a(11) =507a(12) =893a(13) =1573a(14) =2772a(15) =4884a(16) =8605a(17) =15159a(18) =26705a(19) =47045a(20) =82878a(21) =146003a(22) =257207a(23) =453112a(24) =798230a(25) =1406210a(26) =2477265a(27) =4364097a(28) =7688055a(29) =13543737

External references