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.

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

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 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

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

Adjacent sequences: A240813 A240814 A240815 * A240817 A240818 A240819

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Apr 15 2014

Status

approved