

A240816


Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) = index of first nonexisting term of the metaFibonacci sequence {f(1) = ... = f(n) = 1; f(i)=f(if(ik))+f(if(in))} if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.


4



7, 0, 15, 165, 55, 14, 0, 0, 11, 12, 61, 38, 12, 13, 14, 2355, 31, 14, 14, 15, 16, 283, 64, 45, 15, 16, 18, 19, 1337, 369, 32, 16, 18, 19, 20
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OFFSET

1,1


COMMENTS

The zero entries (except T(4,1)) are only conjectural.
Apart from the zero entries, equals A240813 + 1.


LINKS

Table of n, a(n) for n=1..35.
B. Balamohan, A. Kuznetsov and S. Tanny, On the behavior of a variant of Hofstadter's Qsequence, J. Integer Sequences, Vol. 10 (2007), #07.7.1.
D. R. Hofstadter, Curious patterns and nonpatterns in a family of metaFibonacci recursions, Lecture in Doron Zeilberger's Experimental Mathematics Seminar, Rutgers University, April 10 2014; Part 1, Part 2.
Index entries for Hofstadtertype sequences


EXAMPLE

Triangle begins:
7,
0,15,
165,55,14,
0, 0,11,12,
61,38,12,13,14,
2355,31,14,14,15,16,
283,64,45,15,16,18,19,
1337,369,32,16,18,19,20
...


CROSSREFS

Diagonals give A240810, A240814, A240815.
See A240813 for another version.
Sequence in context: A240825 A243773 A097604 * A007393 A245543 A225949
Adjacent sequences: A240813 A240814 A240815 * A240817 A240818 A240819


KEYWORD

nonn,tabl,more


AUTHOR

N. J. A. Sloane, Apr 15 2014


STATUS

approved



