A183061 First differences of A183060.

0, 1, 3, 3, 7, 3, 7, 7, 19, 3, 7, 7, 19, 7, 19, 19, 55, 3, 7, 7, 19, 7, 19, 19, 55, 7, 19, 19, 55, 19, 55, 55, 163, 3, 7, 7, 19, 7, 19, 19, 55, 7, 19, 19, 55, 19, 55, 55, 163, 7, 19, 19, 55, 19, 55, 55, 163, 19, 55, 55, 163, 55, 163, 163, 487, 3

Offset

0,3

Comments

The sequence gives the number of cells turned "ON" at the n-th stage in the structure of A183060.

Links

Table of n, a(n) for n=0..65.

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.]

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 + A147582(n)/2.

a(n) = 1 + 2*A147610(n).

Example

If written as a triangle begins:
0,
1,
3,
3,7,
3,7,7,19,
3,7,7,19,7,19,19,55,
3,7,7,19,7,19,19,55,7,19,19,55,19,55,55,163,
It appears that row sums give A007582.
It appears that last terms of rows give A100702.

Crossrefs

Cf. A007582, A100702, A139250, A139251, A147582, A147610, A183060.

Sequence in context: A100803 A036840 A159913 * A172097 A193934 A030316

Adjacent sequences: A183058 A183059 A183060 * A183062 A183063 A183064

Keyword

nonn

Author

Omar E. Pol, Feb 20 2011

Status

approved