A240824 a(n) = index of first nonexisting term of the meta-Fibonacci sequence {f(k) = k for k <= n; f(k)=f(k-f(k-3))+f(k-f(k-n))} if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.

21, 72, 35, 0, 47, 35, 37, 40, 91, 0, 143, 71, 92

Offset

3,1

Comments

a(6)=0 and a(12)=0 are only conjectures.

Except for the zero entries, this is equal to A240820(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=3..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 A240820 for another version.

A diagonal of the triangle in A240825.

Sequence in context: A187719 A156285 A160435 * A109357 A283802 A082041

Adjacent sequences: A240821 A240822 A240823 * A240825 A240826 A240827

Keyword

nonn,more

Author

N. J. A. Sloane, Apr 15 2014

Status

approved