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A240822 a(n) = index of first nonexisting term of the meta-Fibonacci sequence {f(k) = k for k <= n; f(k)=f(k-f(k-1))+f(k-f(k-n))} if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite. 2
7, 0, 163, 0, 57, 2350, 277, 1301, 85, 1246, 357, 409, 487, 471, 765 (list; graph; refs; listen; history; text; internal format)



a(2)=0 and a(4)=0 are conjectural.

Except for the two zero entries, this is equal to A240818(n)+1. See that entry for further information.

Similar to A134680 and A240810.


Table of n, a(n) for n=1..15.

B. Balamohan, A. Kuznetsov and S. Tanny, On the behavior of a variant of Hofstadter's Q-sequence, J. Integer Sequences, Vol. 10 (2007), #07.7.1.

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


See A240818 for another version.

A diagonal of the triangle in A240825.

Cf. A134680, A240810.

Sequence in context: A046273 A167317 A266436 * A240810 A024094 A157307

Adjacent sequences:  A240819 A240820 A240821 * A240823 A240824 A240825




N. J. A. Sloane, Apr 15 2014



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Last modified May 26 10:17 EDT 2022. Contains 354086 sequences. (Running on oeis4.)