A240812 - OEIS

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A240812

a(n) = length (or lifetime) of the meta-Fibonacci sequence f(1) = ... = f(n) = 1; f(k)=f(k-f(k-3))+f(k-f(k-n)) if that sequence is only defined for finitely many terms, or 0 if that sequence is infinite.

13, 10, 11, 13, 44, 31, 49, 38, 80, 58, 69, 61, 57, 60, 63, 78, 81, 85, 81, 84, 87, 96, 99, 109, 105, 108, 111, 120, 123, 126, 129, 132, 135, 138, 141, 144, 153, 156, 159, 162, 165, 168, 177, 180, 183, 186, 189, 192, 201, 204, 207, 210, 213, 216, 225, 228, 231

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,1

REFERENCES

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.

LINKS

Lars Blomberg, Table of n, a(n) for n = 3..10000, "infinity" = 10^8.

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 A240815 for another version.

A diagonal of the triangle in A240813.

Sequence in context: A281085 A072270 A214025 * A291425 A180864 A206608

Adjacent sequences: A240809 A240810 A240811 * A240813 A240814 A240815

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 15 2014

EXTENSIONS

More terms from Lars Blomberg, Oct 24 2014

STATUS

approved