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A188346 Number of hearts present in the n-th generation of the Q-toothpick sequence A187210. 5
0, 0, 0, 0, 0, 2, 4, 4, 4, 8, 12, 12, 12, 16, 20, 20, 28, 44, 52, 52, 52, 56, 60, 60, 68, 84, 92, 92, 96, 108, 116, 124, 156, 196, 212, 212, 212, 216, 220, 220, 228, 244, 252, 252, 256, 268, 276, 284, 316, 356, 372, 372, 376, 388, 396 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

See A187210 for a description of the different shapes that appear in the Q-toothpick sequence.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..181

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.]

Nathaniel Johnston, The Q-Toothpick Cellular Automaton

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

FORMULA

It appears that a(n) = A211008(n-2,2), n >= 3. (Checked by hand up n = 130 in the toothpick structure of A139250). - Omar E. Pol, Sep 25 2012

CROSSREFS

Cf. A187210, A188344, A188345.

Sequence in context: A139251 A342272 A182635 * A309690 A173531 A122788

Adjacent sequences:  A188343 A188344 A188345 * A188347 A188348 A188349

KEYWORD

nonn

AUTHOR

Nathaniel Johnston, Mar 28 2011

STATUS

approved

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Last modified May 15 07:17 EDT 2021. Contains 343909 sequences. (Running on oeis4.)