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 A260239 Consider the 2^n values of A147562(i)/i^2 for 2^n <= i < 2^(n+1); a(n) = value of i where this quantity is minimized. 6
 1, 3, 5, 11, 23, 45, 91, 183, 365, 731, 1461, 2923, 5847, 11693, 23387, 46775, 93549, 187099, 374197, 748395, 1496791, 2993581, 5987163, 11974327, 23948653, 47897307, 95794615, 191589229, 383178459, 766356917, 1532713835, 3065427671 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence (for Ulam-Warburton) is analogous to A170927 (for toothpicks). Further, the lower limit of A147562(n)/n^2 evidently approaches twice the constant given in A195853. Note that all values in this sequence are odd and that a(n)=2*a(n-1)+1 or a(n)=2*a(n-1)-1. - Robert Price, Aug 14 2015 REFERENCES D. Applegate, O. E. Pol and N. J. A. Sloane, The toothpick sequence and other sequences from cellular automata, Congressus Numerantium, v. 206 (2010) 157-191. LINKS Robert Price, Table of n, a(n) for n = 0..291 D. Applegate, O. E. Pol and N. J. A. Sloane, The toothpick sequence and other sequences from cellular automata; also available at arXiv:1004.3036v2, [math.CO], 2010. Steven R. Finch, Toothpicks and Live Cells, July 21, 2015. [Cached copy, with permission of the author] CROSSREFS Cf. A139250, A147562, A170927, A195853. Sequence in context: A155753 A133914 A169913 * A023223 A106086 A072828 Adjacent sequences:  A260236 A260237 A260238 * A260240 A260241 A260242 KEYWORD nonn AUTHOR Steven Finch, Jul 20 2015 STATUS approved

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Last modified January 22 12:12 EST 2022. Contains 350481 sequences. (Running on oeis4.)