

A160161


First differences of the toothpick numbers A160160.


10



0, 1, 2, 4, 8, 8, 8, 8, 16, 32, 56, 32, 16, 8, 16, 32, 56, 56, 64, 80, 152, 232, 352, 144, 48, 32, 24, 40, 56, 56, 64, 80, 152, 232, 352, 216, 168, 176, 272, 360, 496, 448, 536, 664, 1168, 1488, 2000, 768, 304, 336, 264, 192, 112, 120, 128, 112, 168, 240, 352, 216, 168, 176, 272, 360, 496, 448, 536, 664, 1168, 1488, 2000, 984, 656, 736, 928, 928, 928, 808, 1008
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OFFSET

0,3


COMMENTS

Number of toothpicks added at nth stage to the threedimensional toothpick structure of A160160.


LINKS

Table of n, a(n) for n=0..78.
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
Index entries for sequences related to toothpick sequences


EXAMPLE

Array begins:
===================
x y z
===================
0 1
2 4 8
8 8 8
16 32 56
32 16 8
16 32 56
56 64 80
152 232 352
144 48 32
...
From Omar E. Pol, Feb 28 2018: (Start)
Also, starting with 1, the sequence can be written as an irregular triangle in which the row lengths are the terms of A011782 multiplied by 3, as shown below:
1, 2, 4;
8, 8, 8;
8, 16, 32, 56, 32, 16;
8, 16, 32, 56, 56, 64, 80, 152, 232, 352, 144, 48;
32, 24, 40, 56, 56, 64, 80, 152, 232, 352, 216, 168, 176, 272, 360, 496, 448, ...
(End)


CROSSREFS

Cf. A160160, A139250, A139251, A160120, A160121, A160171, A170875.
Sequence in context: A197000 A198428 A083550 * A129279 A008496 A178573
Adjacent sequences: A160158 A160159 A160160 * A160162 A160163 A160164


KEYWORD

nonn,tabf


AUTHOR

Omar E. Pol, May 03 2009


EXTENSIONS

Extended with C++ program and illustrations (see A160160) by R. J. Mathar, Jan 09 2010


STATUS

approved



