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A079318 a(0) = 1; for n > 0, a(n) = (3^(A000120(n)-1) + 1)/2. 2
1, 1, 1, 2, 1, 2, 2, 5, 1, 2, 2, 5, 2, 5, 5, 14, 1, 2, 2, 5, 2, 5, 5, 14, 2, 5, 5, 14, 5, 14, 14, 41, 1, 2, 2, 5, 2, 5, 5, 14, 2, 5, 5, 14, 5, 14, 14, 41, 2, 5, 5, 14, 5, 14, 14, 41, 5, 14, 14, 41, 14, 41, 41, 122, 1, 2, 2, 5, 2, 5, 5, 14, 2, 5, 5, 14, 5, 14, 14, 41, 2, 5, 5, 14, 5, 14, 14, 41, 5, 14, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

For n>=1, a(n) mod 2 = A010060(n), the Thue-Morse sequence - Benoit Cloitre, Mar 23 2004

REFERENCES

Alex Fink, Aviezri S. Fraenkel and Carlos Santos, LIM is not slim, International Journal of Game Theory, May 2013

D. Singmaster, On the cellular automaton of Ulam and Warburton, M500 Magazine of the Open University, #195 (December 2003), pp. 2-7.

LINKS

Table of n, a(n) for n=0..90.

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata

D. Singmaster, On the cellular automaton of Ulam and Warburton, 2003 [Cached copy, included with permission]

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

FORMULA

a(n)=sum(i+j+k=n, {n!/(i!*j!*k!)} mod 2 ) and 0<=k<=j<=i<=n. - Benoit Cloitre, Jul 02 2004

EXAMPLE

Contribution from Omar E. Pol, Jul 18 2009: (Start)

If written as a triangle:

1;

1;

1,2;

1,2,2,5;

1,2,2,5,2,5,5,14;

1,2,2,5,2,5,5,14,2,5,5,14,5,14,14,41;

1,2,2,5,2,5,5,14,2,5,5,14,5,14,14,41,2,5,5,14,5,14,14,41,5,14,14,41,14,41,41,122;

(End)

CROSSREFS

Cf. A079314-A079319.

Cf. A092255.

Sequence in context: A089408 A208888 A258783 * A050315 A128978 A145862

Adjacent sequences:  A079315 A079316 A079317 * A079319 A079320 A079321

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Feb 12 2003

STATUS

approved

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Last modified February 23 13:05 EST 2018. Contains 299581 sequences. (Running on oeis4.)