A240812 - OEIS

%I #20 Oct 25 2014 01:27:30

%S 13,10,11,13,44,31,49,38,80,58,69,61,57,60,63,78,81,85,81,84,87,96,99,

%T 109,105,108,111,120,123,126,129,132,135,138,141,144,153,156,159,162,

%U 165,168,177,180,183,186,189,192,201,204,207,210,213,216,225,228,231

%N a(n) = length (or lifetime) of the meta-Fibonacci sequence f(1) = ... = f(n) = 1; f(k)=f(k-f(k-3))+f(k-f(k-n)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.

%D 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 Lars Blomberg, <a href="/A240812/b240812.txt">Table of n, a(n) for n = 3..10000</a>, "infinity" = 10^8.

%H 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 <a href="/index/Ho#Hofstadter">Index entries for Hofstadter-type sequences</a>

%Y See A240815 for another version.

%Y A diagonal of the triangle in A240813.

%K nonn

%O 3,1

%A _N. J. A. Sloane_, Apr 15 2014

%E More terms from _Lars Blomberg_, Oct 24 2014