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.

7, 0, 163, 0, 57, 2350, 277, 1301, 85, 1246, 357, 409, 487, 471, 765, 1173, 259, 357, 806, 820, 1079, 2100, 471, 2594, 663, 1171, 666, 1086, 2105, 1418, 725, 1197, 1248, 1629, 649, 2241, 713, 2305, 1837, 1425, 1083, 2760, 1265, 1571, 2236, 1513, 1443, 2448

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..48.

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

Crossrefs

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

Keyword

nonn

Author

N. J. A. Sloane, Apr 15 2014

Extensions

More terms from Max Alekseyev, Sep 19 2023

Status

approved