A183127 Number of toothpicks added at n-th stage to the toothpick structure of A183126.

0, 1, 6, 16, 16, 40, 16, 40, 40, 112, 16, 40, 40, 112, 40, 112, 112, 328, 16, 40, 40, 112, 40, 112, 112, 328, 40, 112, 112, 328, 112, 328, 328, 976, 16, 40, 40, 112, 40, 112, 112, 328, 40, 112, 112, 328, 112, 328, 328, 976, 40, 112, 112, 328, 112, 328, 328, 976

Offset

0,3

Comments

Essentially the first differences of A183126.

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.

Formula

a(n) = 4*(1 + 3^A000120(n-2)), n >= 3. - Nathaniel Johnston, Apr 06 2011

Mathematica

a[n_] := 4*(1 + 3^DigitCount[n-2, 2, 1]); a[0] = 0; a[1] = 1; a[2] = 6; Array[a, 100, 0] (* Amiram Eldar, Aug 01 2023 *)

Crossrefs

Cf. A000120, A139250, A139251, A160173, A161411, A183126, A183149.

Sequence in context: A046629 A291795 A301831 * A222884 A230949 A231023

Adjacent sequences: A183124 A183125 A183126 * A183128 A183129 A183130

Keyword

nonn

Author

Omar E. Pol, Mar 28 2011

Extensions

a(0)-a(10) confirmed and a(11)-a(35) added by John W. Layman, Mar 30 2011

a(36)-a(47) from Nathaniel Johnston, Apr 06 2011

More terms from Amiram Eldar, Aug 01 2023

Status

approved