Numerators of convergents of the continued fraction with the n+1 partial quotients: [2;2,2,...(n 2's)...,2,n+1], starting with [1], [2;2], [2;2,3], [2;2,2,4], ...

A088210

Numerators of convergents of the continued fraction with the n+1 partial quotients: [2;2,2,...(n 2's)...,2,n+1], starting with [1], [2;2], [2;2,3], [2;2,2,4], ...

Terms

    a(0) =1a(1) =5a(2) =17a(3) =53a(4) =157a(5) =449a(6) =1253a(7) =3433a(8) =9273a(9) =24765a(10) =65529a(11) =172061a(12) =448853a(13) =1164409a(14) =3006157a(15) =7728337a(16) =19794545a(17) =50532469a(18) =128621281a(19) =326513669a(20) =826887693a(21) =2089505841a(22) =5269572021a(23) =13265211961a(24) =33336792745a(25) =83648953133a(26) =209591807177

External references