

A240819


a(n) = length (or lifetime) of the metaFibonacci sequence f(k) = k for k <= n; 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



13, 29, 0, 29, 24, 50, 0, 332, 56, 848, 2936, 140, 370, 605, 1514, 532, 169, 360, 1784, 514, 713, 279, 817, 945, 973, 949, 932, 444, 1529, 420, 2345, 628, 517, 913, 713, 738, 1611, 1066, 1639, 727, 1256, 1140, 1336, 718, 941, 907, 2272, 606, 1152, 2091, 2341
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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 30000 terms
Index entries for Hofstadtertype sequences


CROSSREFS

See A240809 for the sequence for n=4.
See A240823 for another version.
A diagonal of the triangle in A240821.
Sequence in context: A001291 A018974 A018955 * A293661 A087593 A158075
Adjacent sequences: A240816 A240817 A240818 * A240820 A240821 A240822


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Apr 15 2014


EXTENSIONS

More terms from Lars Blomberg, Oct 24 2014


STATUS

approved



