cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A059904 Periodic part of continued fraction for sqrt(n), encoded by recursively interleaving the bits in the binary expansions of the repeating terms.

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%I A059904 #4 Oct 14 2022 18:29:30
%S A059904 0,4,33,0,16,516,549755813899,513,0,20,549,548,
%T A059904 604462909948052075708555,549764202537,545,0,64,8208,
%U A059904 13479973333575319897333507543509815336818572211270286381289293482126
%N A059904 Periodic part of continued fraction for sqrt(n), encoded by recursively interleaving the bits in the binary expansions of the repeating terms.
%C A059904 Could be made less gigantic by omitting final terms in continued fraction, which are always 2*c0.
%F A059904 a(n) = A059884(A059903(n)).
%e A059904 sqrt(3)=1+[1,2] so a(3) is encoded as:
%e A059904 .....0 0 0 0 1 -> 1
%e A059904 ....... 1 . 0 .-> 2
%e A059904 --------------
%e A059904 .....000100001 = 33.
%Y A059904 A059903, A059884, A003285.
%K A059904 base,easy,nonn
%O A059904 1,2
%A A059904 _Marc LeBrun_, Feb 07 2001