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A055748 A chaotic cousin of the Hofstadter-Conway sequence A004001. 4
1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 9, 10, 10, 10, 11, 13, 15, 15, 14, 15, 16, 16, 16, 16, 16, 16, 16, 17, 18, 18, 18, 18, 18, 19, 21, 23, 21, 20, 24, 25, 26, 28, 27, 26, 30, 30, 29, 30, 30, 30, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

J. Grytczuk, Another variation on Conway's recursive sequence, Discr. Math. 282 (2004), 149-161.

K. Pinn, A chaotic cousin of Conway's recursive sequence, Experimental Mathematics, 9:1 (2000), 55-65.

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 129.

LINKS

Table of n, a(n) for n=1..70.

Index entries for Hofstadter-type sequences

Experimental Mathematics, Home Page

FORMULA

a(1) = 1, a(2) = 1, a(n) = a(a(n-1)) + a(n - a(n-2) - 1) for n >= 3. [From Jaroslav Krizek, Dec 09 2009]

MAPLE

A055748 := proc(n) option remember; if n<=2 then 1 else A055748(A055748(n-1))+A055748(n-1-A055748(n-2)); fi; end;

CROSSREFS

Cf. A004001, A005185.

Sequence in context: A248801 A006949 A194814 * A090702 A029124 A113512

Adjacent sequences:  A055745 A055746 A055747 * A055749 A055750 A055751

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 13 2000

STATUS

approved

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Last modified December 21 15:09 EST 2014. Contains 252322 sequences.