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 A152978 a(n) = A139251(n+2)/4 = A152968(n+1)/2. 23
 1, 1, 1, 2, 3, 2, 1, 2, 3, 3, 4, 7, 8, 4, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 8, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 9, 4, 7, 9, 10, 15, 22, 21, 14, 15, 23, 28, 35, 52, 64, 48, 16, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 9, 4, 7, 9, 10, 15, 22, 21, 14, 15, 23 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Also, first differences of toothpick numbers A153000. LINKS David Applegate, The movie version 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.] N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA G.f.: (1+x)*(Prod(1+x^(2^k-1)+2*x^(2^k),k=1..oo)-1)/(1+2*x). - N. J. A. Sloane, May 20 2009 EXAMPLE If written as a triangle, begins: .1,1; .1,2,3,2; .1,2,3,3,4,7,8,4; .1,2,3,3,4,7,8,5,4,7,9,10,15,22,20,8; .... Rows converge to A152980. It appears that row sums give A004171. [From Omar E. Pol, May 25 2010] CROSSREFS Cf. toothpick sequence A139250. Cf. A139251, A139252, A139560, A152968, A152973. Cf. A152980, A152998, A153000, A153001, A153003, A153004, A153006. Cf. A004171. [From Omar E. Pol, May 25 2010] Sequence in context: A030314 A269624 A098236 * A118121 A006968 A058207 Adjacent sequences:  A152975 A152976 A152977 * A152979 A152980 A152981 KEYWORD nonn,easy AUTHOR Omar E. Pol, Dec 16 2008, Dec 20 2008 EXTENSIONS More terms from Omar E. Pol, Jul 26 2009 STATUS approved

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Last modified September 24 21:05 EDT 2021. Contains 347651 sequences. (Running on oeis4.)