

A240823


a(n) = index of first nonexisting term 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



14, 30, 0, 30, 25, 51, 0, 333, 57, 849, 2937, 141, 371, 606
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OFFSET

2,1


COMMENTS

a(4)=0 and a(8)=0 are only conjectures.
Except for the zero entries, this is equal to A240819(n)+1. See that entry for further information.


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

Table of n, a(n) for n=2..15.
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 A240819 for another version.
A diagonal of the triangle in A240825.
Sequence in context: A041388 A042617 A041390 * A226734 A162931 A155480
Adjacent sequences: A240820 A240821 A240822 * A240824 A240825 A240826


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, Apr 15 2014


STATUS

approved



