A245542 Partial sums of A160239.

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

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 stepped 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

Index entries for sequences related to cellular automata

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