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A240816
Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) = index of first nonexisting term of the meta-Fibonacci sequence {f(1) = ... = f(n) = 1; f(i)=f(i-f(i-k))+f(i-f(i-n))} 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
OFFSET
1,1
COMMENTS
The zero entries (except T(4,1)) are only conjectural.
Apart from the zero entries, equals A240813 + 1.
LINKS
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.
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 A348516 A245543
KEYWORD
nonn,tabl,more
AUTHOR
N. J. A. Sloane, Apr 15 2014
STATUS
approved