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A183149
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Number of toothpicks added at n-th stage to the toothpick structure of A183148.
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2
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0, 1, 3, 9, 9, 21, 9, 21, 21, 57, 9, 21, 21, 57, 21, 57, 57, 165, 9, 21, 21, 57, 21, 57, 57, 165, 21, 57, 57, 165, 57, 165, 165, 489, 9, 21, 21, 57, 21, 57, 57, 165, 21, 57, 57, 165, 57, 165, 165, 489, 21, 57, 57, 165, 57, 165
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refs;
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history;
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OFFSET
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0,3
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COMMENTS
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Essentially the first differences of A183148.
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LINKS
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Table of n, a(n) for n=0..55.
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
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FORMULA
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a(n) = 3*A183061(n-1), for n >=2
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EXAMPLE
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If written as a triangle begins:
0,
1,
3,
9,
9,21,
9,21,21,57,
9,21,21,57,21,57,57,165,
9,21,21,57,21,57,57,165,21,57,57,165,57,165,165,489,
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CROSSREFS
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Cf. A139250, A139251, A147582, A147610, A160173, A161411, A183061, A183127, A183148.
Sequence in context: A223195 A203600 A099720 * A223933 A224057 A224310
Adjacent sequences: A183146 A183147 A183148 * A183150 A183151 A183152
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol, Mar 28 2011, Apr 02 2011
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STATUS
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approved
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