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A240811 a(n) = length (or lifetime) of the meta-Fibonacci sequence f(1) = ... = f(n) = 1; f(k)=f(k-f(k-2))+f(k-f(k-n)) 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

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

REFERENCES

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.

LINKS

Lars Blomberg, Table of n, a(n) for n = 2..10000, "infinity" = 10^8.

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; Part 1, Part 2.

D. R. Hofstadter, Graph of first 100 terms

Index entries for Hofstadter-type 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

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Last modified May 9 12:26 EDT 2021. Contains 343740 sequences. (Running on oeis4.)