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A079318
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a(0) = 1; for n > 0, a(n) = (3^(A000120(n)-1) + 1)/2.
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2
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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; internal format)
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OFFSET
| 0,4
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COMMENTS
| For n>=1, a(n) mod 2 = A010060(n), the Thue-Morse sequence - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 23 2004
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REFERENCES
| D. Singmaster, On the cellular automaton of Ulam and Warburton, unpublished manuscript, 2003.
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LINKS
| David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
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FORMULA
| a(n)=sum(i+j+k=n, {n!/(i!*j!*k!)} mod 2 ) and 0<=k<=j<=i<=n. - Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 02 2004
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EXAMPLE
| Contribution from Omar E. Pol (info(AT)polprimos.com), 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)
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CROSSREFS
| Cf. A079314-A079319.
Cf. A092255.
Sequence in context: A026832 A193691 A089408 * A050315 A128978 A145862
Adjacent sequences: A079315 A079316 A079317 * A079319 A079320 A079321
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 12 2003
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