A161412 V-toothpick sequence starting at the corner of an infinite square from which protrudes a half toothpick with an angle = Pi/6.

0, 1, 2, 3, 5, 9, 12, 15, 19, 25, 29, 34, 39, 49, 58, 63

Offset

0,3

Comments

The sequence gives the number of V-toothpicks in the structure after n rounds. A161413 (the first differences) gives the number added at the n-th round.

Links

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

Crossrefs

V-toothpick sequence: A161206.

Cf. A139250, A160120, A160406, A161328, A161413.

Sequence in context: A334264 A141403 A124204 * A099420 A184794 A144728

Adjacent sequences: A161409 A161410 A161411 * A161413 A161414 A161415

Keyword

more,nonn

Author

Omar E. Pol, Jun 10 2009

Status

approved