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 A245542 Partial sums of A160239. 9
 1, 9, 17, 41, 49, 113, 137, 249, 257, 321, 385, 577, 601, 793, 905, 1321, 1329, 1393, 1457, 1649, 1713, 2225, 2417, 3313, 3337, 3529, 3721, 4297, 4409, 5305, 5721, 7449, 7457, 7521, 7585, 7777, 7841, 8353, 8545, 9441, 9505, 10017, 10529, 12065 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also, total number of cubic ON cells after n generations in a three-dimensional cellular automaton where A160239(n) gives the number of cubic ON cells in the n-th level of the structure starting from the top. An ON cell remains ON forever. The structure looks like an irregular step pyramid. - Omar E. Pol, Jan 27 2015 LINKS N. J. A. Sloane, Table of n, a(n) for n = 0..16383 N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015 FORMULA a(n) = 1 + 8*A245540(n), n >= 1. - Omar E. Pol, Mar 07 2015 MATHEMATICA b[n_] := b[n] = Which[n == 1, 1, Mod[n, 2] == 0, b[n/2], Mod[n, 4] == 3, 2b[(n - 1)/2] + b[n - 2], True, 8b[(n - 1)/4]]; Join[{1}, 1 + 8 Accumulate[Array[b, 43]]] (* Jean-François Alcover, Oct 01 2018, after Omar E. Pol *) PROG (Haskell) a245542 n = a245542_list !! n a245542_list = scanl1 (+) a160239_list -- Reinhard Zumkeller, Feb 13 2015 CROSSREFS Cf. A116520, A160239, A245540, A253908, A253767. Sequence in context: A055393 A147082 A145941 * A186298 A147245 A146625 Adjacent sequences:  A245539 A245540 A245541 * A245543 A245544 A245545 KEYWORD nonn,look AUTHOR N. J. A. Sloane, Jul 26 2014 EXTENSIONS Offset changed to 0 by N. J. A. Sloane, Feb 06 2015 STATUS approved

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Last modified January 20 12:23 EST 2019. Contains 319330 sequences. (Running on oeis4.)