A160408 Toothpick pyramid (see Comments lines for definition).

0, 1, 2, 4, 8, 12, 16, 20, 24, 32, 48, 64, 72, 76, 80, 88

Offset: 0

Author

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

Keywords

• more
• nonn

Comments

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.

Links

• 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

Crossrefs

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