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 A255264 Total number of ON cells in the "Ulam-Warburton" two-dimensional cellular automaton of A147562 after A048645(n) generations. 3
 1, 5, 9, 21, 25, 37, 85, 89, 101, 149, 341, 345, 357, 405, 597, 1365, 1369, 1381, 1429, 1621, 2389, 5461, 5465, 5477, 5525, 5717, 6485, 9557, 21845, 21849, 21861, 21909, 22101, 22869, 25941, 38229, 87381, 87385, 87397, 87445, 87637 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS It appears that these are the terms of A147562, A162795, A169707, A255366, A256250, A256260, whose indices have binary weight 1 or 2. LINKS Table of n, a(n) for n=1..41. N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS Index entries for sequences related to cellular automata FORMULA a(n) = A147562(A048645(n)). Conjecture 1: a(n) = A162795(A048645(n)). Conjecture 2: a(n) = A169707(A048645(n)). Conjecture 3: a(n) = A255366(A048645(n)). Conjecture 4: a(n) = A256250(A048645(n)). Conjecture 5: a(n) = A256260(A048645(n)). a(n) = A032925(A209492(n-1)) (conjectured). - Jon Maiga, Dec 17 2021 EXAMPLE Also, written as an irregular triangle in which row lengths are the terms of A028310 the sequence begins: 1; 5; 9, 21; 25, 37, 85; 89, 101, 149, 341; 345, 357, 405, 597, 1365; 1369, 1381, 1429, 1621, 2389, 5461; 5465, 5477, 5525, 5717, 6485, 9557, 21845; 21849, 21861, 21909, 22101, 22869, 25941, 38229, 87381; ... Right border gives the positive terms of A002450. It appears that the second leading diagonal gives the odd terms of A206374. CROSSREFS Cf. A002450, A028310, A032925, A048645, A075897, A139250, A147562, A162795, A169707, A206374, A209492, A255263, A255366, A256250, A256260. Sequence in context: A256250 A256138 A246335 * A321170 A328407 A147407 Adjacent sequences: A255261 A255262 A255263 * A255265 A255266 A255267 KEYWORD nonn,tabf,look AUTHOR Omar E. Pol, Feb 19 2015 STATUS approved

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Last modified August 3 21:27 EDT 2024. Contains 374905 sequences. (Running on oeis4.)