

A151885


Similar to the original toothpick sequence A139250, except that the rule is now: a toothpick changes state if its midpoint is adjacent to exactly one ON toothpick.


4



0, 1, 3, 5, 11, 5, 15, 17, 39, 5, 15, 25, 55, 17, 51, 61, 139, 5, 15, 25, 55, 25, 75, 85, 195, 17, 51, 85, 187, 61, 183, 217, 495, 5, 15, 25, 55, 25, 75, 85, 195, 25, 75, 125, 275, 85, 255, 305, 695, 17, 51, 85, 187, 85, 255, 289, 663
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OFFSET

0,3


COMMENTS

In the original toothpick sequence A139250, a toothpick simply turned ON (and stayed ON) if its midpoint was adjacent to exactly one ON toothpick.
Related to A139250 in the same way that A079315 is related to A147562.


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..925
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, C program for computing terms of A151885A151888
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
N. J. A. Sloane, Illustration of first 8 generations


FORMULA

a(n) = a(n1) + A151888(n).


CROSSREFS

Cf. A151886A151888, A139250, A139251, A147562, A079314, A079315.
Sequence in context: A139430 A143386 A214862 * A137656 A046228 A132162
Adjacent sequences: A151882 A151883 A151884 * A151886 A151887 A151888


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 23 2009


EXTENSIONS

Terms after a(8) from Nathaniel Johnston, Apr 02 2011


STATUS

approved



