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A160408 Toothpick pyramid (see Comments lines for definition). 7
0, 1, 2, 4, 8, 12, 16, 20, 24, 32, 48, 64, 72, 76, 80, 88 (list; graph; refs; listen; history; text; internal format)



The toothpick pyramid is a three-dimensional version of the toothpick triangle A160406.

The sequence gives the number of toothpicks after n rounds. A160409 (the first differences) gives the number added at the n-th round.

See also the entry A139250 for more information about the toothpick sequences.


Table of n, a(n) for n=0..15.

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


Cf. A139250, A139251, A160160, A160406, A160407, A160409.

Sequence in context: A048166 A010066 A180490 * A221707 A186146 A006638

Adjacent sequences:  A160405 A160406 A160407 * A160409 A160410 A160411




Omar E. Pol, May 23 2009, Jun 06 2009



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Last modified January 17 18:48 EST 2019. Contains 319251 sequences. (Running on oeis4.)