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.

A280136 Negative continued fraction of e (or negative continued fraction expansion of e).

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%I A280136 #31 Mar 08 2025 04:04:35
%S A280136 3,4,3,2,2,2,3,8,3,2,2,2,2,2,2,2,3,12,3,2,2,2,2,2,2,2,2,2,2,2,3,16,3,
%T A280136 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,20,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
%U A280136 2,2,2,3,24,3,2,2,2,2,2,2,2,2,2,2,2,2,2
%N A280136 Negative continued fraction of e (or negative continued fraction expansion of e).
%C A280136 After the first term (3), a pattern of groups consisting, for m>=1, of the number 4m, followed by 3, then 4m-1 2's, then 3.
%D A280136 Leonard Eugene Dickson, History of the Theory of Numbers, page 379.
%e A280136 e = 2.71828... = 3 - 1/(4 - 1/(3 - 1/(...))).
%o A280136 (PARI)  \p10000; p=exp(1.0); for(i=1, 300, print(i, " ", ceil(p)); p=ceil(p)-p; p=1/p )
%Y A280136 Cf. A003417 (continued fraction of e).
%Y A280136 Cf. A005131 (generalized continued fraction of e).
%Y A280136 Cf. A133570 (exact continued fraction of e).
%Y A280136 Cf. A228825 (delayed continued fraction of e).
%Y A280136 Cf. A280135 (negative continued fraction of Pi).
%K A280136 nonn
%O A280136 1,1
%A A280136 _Randy L. Ekl_, Dec 26 2016
%E A280136 More terms from _Jinyuan Wang_, Mar 04 2020