

A240811


a(n) = length (or lifetime) of the metaFibonacci sequence f(1) = ... = f(n) = 1; f(k)=f(kf(k2))+f(kf(kn)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.


3



14, 54, 0, 37, 30, 63, 368, 47, 46, 108, 188, 118, 62, 209, 126, 197, 78, 127, 190, 141, 94, 130, 138, 226, 110, 134, 158, 138, 126, 170, 242, 371, 142, 190, 178, 225, 158, 206, 214, 304, 174, 226, 238, 245, 190, 250, 262, 328, 206, 234, 278, 357, 222, 290
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OFFSET

2,1


COMMENTS

The term a(4) = 0 is only conjectural.


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 = 2..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.
D. R. Hofstadter, Graph of first 100 terms
Index entries for Hofstadtertype sequences


CROSSREFS

Cf. A063892, A087777, A240817 (sequences for n=3..5).
See A240814 for another version.
A diagonal of the triangle in A240813.
Sequence in context: A217077 A214659 A241354 * A118856 A118530 A048971
Adjacent sequences: A240808 A240809 A240810 * A240812 A240813 A240814


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Apr 15 2014


EXTENSIONS

More terms from Lars Blomberg, Oct 24 2014


STATUS

approved



