A240823 a(n) = index of first nonexisting term of the meta-Fibonacci sequence {f(k) = k for k <= n; 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.

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

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 non-patterns in a family of meta-Fibonacci 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 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.

Index entries for Hofstadter-type 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