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 A161342 Number of "ON" cubic cells at n-th stage in simple 3-dimensional cellular automaton: a(n) = A160428(n)/8. 7
 0, 1, 8, 15, 64, 71, 120, 169, 512, 519, 568, 617, 960, 1009, 1352, 1695, 4096, 4103, 4152, 4201, 4544, 4593, 4936, 5279, 7680, 7729, 8072, 8415, 10816, 11159, 13560, 15961, 32768, 32775, 32824, 32873 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS First differences are in A161343. - Omar E. Pol, May 03 2015 From Gary W. Adamson, Aug 30 2016: (Start) Let M = _1, 0, 0, 0, 0,... _8, 0, 0, 0, 0,... _7, 1, 0, 0, 0,... _0, 8, 0, 0, 0,... _0, 7, 1, 0, 0,... _0, 0, 8, 0, 0,... _0, 0, 7, 1, 0,... ... Then M^k converges to a single nonzero column giving the sequence. The sequence with offset 1 divided by its aerated variant is (1, 8, 7, 0, 0, 0,...). (End) LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA From Nathaniel Johnston, Nov 13 2010: (Start) a(n) = Sum_{k=0..n-1} 7^A000120(k). a(n) = 1 + 7 * Sum_{k=1..n-1} A151785(k), for n >= 1. a(2^n) = 2^{3n}. (End) CROSSREFS Cf. A160410, A160428, A161343, A006046, A130665, A116520, A130667, A116522, A116526, A116525. Sequence in context: A167340 A037377 A166704 * A048732 A185038 A193490 Adjacent sequences:  A161339 A161340 A161341 * A161343 A161344 A161345 KEYWORD nonn AUTHOR Omar E. Pol, Jun 14 2009 EXTENSIONS More terms from Nathaniel Johnston, Nov 13 2010 STATUS approved

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Last modified January 17 15:12 EST 2020. Contains 330958 sequences. (Running on oeis4.)