

A240812


a(n) = length (or lifetime) of the metaFibonacci sequence f(1) = ... = f(n) = 1; f(k)=f(kf(k3))+f(kf(kn)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.


3



13, 10, 11, 13, 44, 31, 49, 38, 80, 58, 69, 61, 57, 60, 63, 78, 81, 85, 81, 84, 87, 96, 99, 109, 105, 108, 111, 120, 123, 126, 129, 132, 135, 138, 141, 144, 153, 156, 159, 162, 165, 168, 177, 180, 183, 186, 189, 192, 201, 204, 207, 210, 213, 216, 225, 228, 231
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OFFSET

3,1


REFERENCES

D. R. Hofstadter, Curious patterns and nonpatterns in a family of metaFibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014.


LINKS

Lars Blomberg, Table of n, a(n) for n = 3..10000, "infinity" = 10^8.
D. R. Hofstadter, Curious patterns and nonpatterns in a family of metaFibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014; Part 1, Part 2.
Index entries for Hofstadtertype sequences


CROSSREFS

See A240815 for another version.
A diagonal of the triangle in A240813.
Sequence in context: A281085 A072270 A214025 * A291425 A180864 A206608
Adjacent sequences: A240809 A240810 A240811 * A240813 A240814 A240815


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Apr 15 2014


EXTENSIONS

More terms from Lars Blomberg, Oct 24 2014


STATUS

approved



