A182635 Number of toothpicks added at n-th stage to the toothpick structure of A182634.
0, 1, 2, 4, 4, 4, 8, 12, 8, 4, 8, 16, 20, 16, 20, 28, 16, 4, 8, 16, 20, 20, 28, 44, 44, 24, 20, 40, 56, 48, 52, 64, 32, 4, 8, 16, 20, 20, 28, 44, 44, 28, 28, 52, 76, 76, 76
Offset: 0
Examples
Contribution from _Omar E. Pol_, Dec 06 2012 (Start): When written as an irregular triangle begins: 0; 1; 2; 4,4; 4,8,12,8; 4,8,16,20,16,20,28,16; 4,8,16,20,20,28,44,44,24,20,40,56,48,52,64,32; 4,8,16,20,20,28,44,44,28,28,52,76,76,76,... (End)
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
- Index entries for sequences related to toothpick sequences
- Index entries for sequences related to cellular automata
Formula
a(n) = A182633(n)/3.
Comments