

A187213


Number of Qtoothpicks added at nth stage to the structure of A187212.


3



0, 1, 2, 2, 4, 4, 8, 10, 8, 4, 8, 12, 12, 16, 28, 30, 16, 4, 8, 12, 12, 16, 28, 32, 20, 16, 28, 36, 40, 60, 88, 78, 32, 4, 8, 12, 12, 16, 28, 32, 20, 16, 28, 36, 40, 60, 88, 80, 36, 16, 28, 36, 40, 60, 88, 84, 56, 60, 92, 112
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OFFSET

0,3


COMMENTS

Essentially the first differences of A187212.


LINKS

Table of n, a(n) for n=0..59.
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)1) for n >= 2.]
Nathaniel Johnston, The QToothpick Cellular Automaton
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS


FORMULA

It appears that if n = 2^k  1, for k >= 2, then a(n) = A139251(n)  2 otherwise a(n) = A139251(n).  Omar E. Pol, Mar 30 2011


EXAMPLE

Contribution from Omar E. Pol, Mar 29 2011 (Start):
If written as a triangle begins:
0,
1,
2,
2,4,
4,8,10,8,
4,8,12,12,16,28,30,16,
4,8,12,12,16,28,32,20,16,28,36,40,60,88,78,32,
(End)


CROSSREFS

Cf. A139250, A139251, A187211, A187212, A187221.
Sequence in context: A318770 A284613 A000011 * A022476 A000013 A064484
Adjacent sequences: A187210 A187211 A187212 * A187214 A187215 A187216


KEYWORD

nonn


AUTHOR

Omar E. Pol, Mar 22 2011


EXTENSIONS

Terms after a(24) from Nathaniel Johnston, Mar 28 2011


STATUS

approved



