A160158 Toothpick sequence starting from a segment of length 4 formed by two toothpicks.

0, 2, 4, 8, 16, 24, 28, 36, 48, 56, 64, 80, 104, 124, 136, 156, 176, 184, 192, 208, 232, 252, 268, 296, 328, 352, 384, 440, 508, 560, 600, 652, 688, 696, 704, 720, 744, 764, 780, 808, 840, 864, 896, 952, 1020, 1072, 1116, 1176, 1224, 1248, 1280, 1336, 1404

Offset

0,2

Comments

The sequence gives the number of toothpicks in the sieve after n-th stage.

Links

Table of n, a(n) for n=0..52.

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, A160406, A160730, A160732, A160736, A160738, A160740.

Sequence in context: A354754 A261890 A072874 * A010072 A318654 A333994

Adjacent sequences: A160155 A160156 A160157 * A160159 A160160 A160161

Keyword

nonn

Author

Omar E. Pol, May 29 2009

Extensions

Extended beyond a(13) by R. J. Mathar, Jun 01 2009

Status

approved