

A182841


Number of toothpicks added at nth stage in the toothpick structure of A182840.


9



0, 1, 4, 8, 14, 16, 14, 24, 38, 32, 14, 24, 46, 64, 54, 56, 86, 64, 14, 24, 46, 64, 62, 80, 126, 144, 86, 56, 110, 168, 158, 144, 198, 128, 14, 24, 46, 64, 62, 80, 126, 144, 94, 80, 142, 224, 238, 224, 286, 304, 150, 56, 110, 168, 182, 216, 326, 408, 302, 176, 262, 408, 414, 360, 438, 256
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OFFSET

0,3


COMMENTS

First differences of A182840.


LINKS

Olaf Voß, Table of n, a(n) for n = 0..1000
David Applegate, The movie version
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Olaf Voß, Toothpick structures on hexagonal net
Index entries for sequences related to toothpick sequences
Index entries for sequences related to cellular automata


FORMULA

a(2^k + 1) = 2^(k+2), at least for 0 <= k <= 9.  Omar E. Pol, Nov 01 2014


EXAMPLE

From Omar E. Pol, Nov 01 2014: (Start)
When written as an irregular triangle:
0;
1;
4;
8;
14, 16;
14, 24, 38, 32;
14, 24, 46, 64, 54, 56, 86, 64;
14, 24, 46, 64, 62, 80, 126, 144, 86, 56, 110, 168, 158, 144, 198, 128;
14, 24, 46, 64, 62, 80, 126, 144, 94, 80, 142, 224, 238, 224, 286, 304, 150, 56, 110, 168, 182, 216, 326, 408, 302, 176, 262, 408, 414, 360, 438, 256;
...
(End)


CROSSREFS

Cf. A139250, A139251, A160121, A161207, A182633, A182635, A151724, A182842.
Sequence in context: A166054 A291043 A312244 * A312245 A312246 A312247
Adjacent sequences: A182838 A182839 A182840 * A182842 A182843 A182844


KEYWORD

nonn,tabf


AUTHOR

Omar E. Pol, Dec 09 2010


EXTENSIONS

More terms from Olaf Voß, Dec 24 2010
Wiki link added by Olaf Voß, Jan 14 2011


STATUS

approved



