A182841 Number of toothpicks added at n-th stage in the toothpick structure of A182840.
0, 1, 4, 8, 14, 16, 14, 24, 38, 32, 14, 24, 46, 64, 54, 56, 86, 64, 14, 24, 46, 64, 62, 80, 126, 144, 86, 56, 110, 168, 158, 144, 198, 128, 14, 24, 46, 64, 62, 80, 126, 144, 94, 80, 142, 224, 238, 224, 286, 304, 150, 56, 110, 168, 182, 216, 326, 408, 302, 176, 262, 408, 414, 360, 438, 256
Offset: 0
Examples
From _Omar E. Pol_, Nov 01 2014: (Start) When written as an irregular triangle: 0; 1; 4; 8; 14, 16; 14, 24, 38, 32; 14, 24, 46, 64, 54, 56, 86, 64; 14, 24, 46, 64, 62, 80, 126, 144, 86, 56, 110, 168, 158, 144, 198, 128; 14, 24, 46, 64, 62, 80, 126, 144, 94, 80, 142, 224, 238, 224, 286, 304, 150, 56, 110, 168, 182, 216, 326, 408, 302, 176, 262, 408, 414, 360, 438, 256; ... (End)
Links
- Olaf Voß, Table of n, a(n) for n = 0..1000
- David Applegate, The movie version
- 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
- Olaf Voß, Toothpick structures on hexagonal net
- Index entries for sequences related to toothpick sequences
- Index entries for sequences related to cellular automata
Formula
a(2^k + 1) = 2^(k+2), at least for 0 <= k <= 9. - Omar E. Pol, Nov 01 2014
Comments