A186411 First differences of A186410.

0, 1, 5, 5, 21, 5, 21, 21, 101, 5, 21, 21, 101, 21, 101, 101, 501, 5, 21, 21, 101, 21, 101, 101, 501, 21, 101, 101, 501, 101, 501, 501, 2501, 5, 21, 21, 101, 21, 101, 101, 501, 21, 101, 101, 501, 101, 501, 501, 2501, 21, 101, 101, 501, 101, 501, 501, 2501, 101

Offset

0,3

Comments

Number of cells turned "ON" at h-th stage of the three-dimensional cellular automaton of A186410. In other words: number of cubes added at n-th stage to the structure of A186410.

Links

Table of n, a(n) for n=0..57.

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

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS.

Index entries for sequences related to cellular automata.

Formula

a(n) = 1 + 4*5^(A000120(n-1)-1), n >= 2. - Nathaniel Johnston, Mar 22 2011

Mathematica

a[n_] := 1 + 4*5^(DigitCount[n-1, 2, 1]-1); a[0] = 0; a[1] = 1; Array[a, 100, 0] (* Amiram Eldar, Aug 01 2023 *)

Crossrefs

Cf. A000120, A147582, A151779, A186410.

Sequence in context: A154640 A154643 A391731 * A255452 A255446 A255450

Adjacent sequences: A186408 A186409 A186410 * A186412 A186413 A186414

Keyword

nonn

Author

Omar E. Pol, Feb 21 2011

Extensions

More terms from Nathaniel Johnston, Mar 22 2011

More terms from Amiram Eldar, Aug 01 2023

Status

approved