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.

A240818 a(n) = length (or lifetime) of the meta-Fibonacci sequence f(k) = k for k <= n; f(k)=f(k-f(k-1))+f(k-f(k-n)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.

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%I A240818 #16 May 22 2019 14:21:11
%S A240818 6,0,162,0,56,2349,276,1300,84,1245,356,408,486,470,764,1172,258,356,
%T A240818 805,819,1078,2099,470,2593,662,1170,665,1085,2104,1417,724,1196,1247,
%U A240818 1628,648,2240,712,2304,1836,1424,1082,2759,1264,1570,2235,1512,1442,2447
%N A240818 a(n) = length (or lifetime) of the meta-Fibonacci sequence f(k) = k for k <= n; f(k)=f(k-f(k-1))+f(k-f(k-n)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.
%C A240818 The terms a(2) = 0 and a(4) = 0 are only conjectural.
%C A240818 This sequence is very similar to A134680.
%D A240818 D. R. Hofstadter, Curious patterns and non-patterns in a family of meta-Fibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014.
%H A240818 Lars Blomberg, <a href="/A240818/b240818.txt">Table of n, a(n) for n = 1..10000</a>, "infinity" = 10^8.
%H A240818 D. R. Hofstadter, Curious patterns and non-patterns in a family of meta-Fibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014; <a href="https://vimeo.com/91708646">Part 1</a>, <a href="https://vimeo.com/91710600">Part 2</a>.
%H A240818 <a href="/index/Ho#Hofstadter">Index entries for Hofstadter-type sequences</a>
%Y A240818 The sequences for n=2,3,4 are A005185 and (essentially) A046700, A063882.
%Y A240818 See A240822 for another version.
%Y A240818 A diagonal of the triangle in A240821.
%Y A240818 Cf. A134680.
%K A240818 nonn
%O A240818 1,1
%A A240818 _N. J. A. Sloane_, Apr 15 2014
%E A240818 More terms from _Lars Blomberg_, Oct 24 2014