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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of toothpicks added at n-th stage to the three-dimensional 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,changed

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

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Last modified July 15 22:11 EDT 2018. Contains 312644 sequences. (Running on oeis4.)