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 A151781 Partial sums of A151779. 7
 1, 7, 13, 43, 49, 79, 109, 259, 265, 295, 325, 475, 505, 655, 805, 1555, 1561, 1591, 1621, 1771, 1801, 1951, 2101, 2851, 2881, 3031, 3181, 3931, 4081, 4831, 5581, 9331, 9337, 9367, 9397, 9547, 9577, 9727, 9877, 10627, 10657, 10807, 10957, 11707, 11857, 12607 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Total number of ON cells after n-th generation of cellular automaton based on Z^3 lattice in the same way that A147562 is based on the Z^2 lattice. Here each cell has six neighbors. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 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.] Hsien-Kuei Hwang, Svante Janson, and Tsung-Hsi Tsai, Identities and periodic oscillations of divide-and-conquer recurrences splitting at half, arXiv:2210.10968 [cs.DS], 2022, pp. 32-33. N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS MATHEMATICA a[n_] := 6*5^(Total@ IntegerDigits[n - 1, 2] - 1); a[1] = 1; Accumulate@ Array[a, 46] (* Michael De Vlieger, Oct 31 2022 *) PROG (PARI) a(n)=sum(k=1, n, 6*5^(hammingweight(k-1)-1)\1) \\ Charles R Greathouse IV, Sep 14 2015 CROSSREFS Cf. A147562, A151779, A151790, A151792, A151793. Sequence in context: A241718 A259184 A259186 * A224502 A361914 A047977 Adjacent sequences: A151778 A151779 A151780 * A151782 A151783 A151784 KEYWORD nonn,look AUTHOR N. J. A. Sloane, Jun 25 2009 STATUS approved

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Last modified August 5 06:16 EDT 2024. Contains 374935 sequences. (Running on oeis4.)