A255737 Total number of toothpicks in the toothpick structure of A153000 that are parallel to the initial toothpick, after n odd rounds.

0, 1, 2, 5, 6, 9, 13, 21, 22, 25, 29, 37, 41, 50, 65, 85, 86, 89, 93, 101, 105, 114, 129, 149, 153, 162, 177, 198, 213, 241, 293, 341, 342, 345, 349, 357, 361, 370, 385, 405, 409, 418, 433, 454, 469, 497, 549, 597, 601, 610, 625, 646, 661, 689, 741, 790, 805, 833, 885, 941, 994, 1085, 1253, 1365, 1366, 1369

Offset: 0

Author

Omar E. Pol, Mar 07 2015

Keywords

• nonn

Comments

Total number of toothpicks in the first quadrant of the toothpick structure of A139250 that are parallel to the initial toothpick, after n odd rounds.

Written as an irregular triangle in which the row lengths are the terms of A011782 the right border gives A002450.

Links

• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A002450, A011782, A139250, A151920, A153000, A162795, A255747.

Formula

a(n) = (A162795(n+1) - 1)/4.