A256531 First differences of A256530.

0, 1, 8, 12, 28, 12, 36, 60, 68, 12, 36, 60, 84, 108, 132, 156, 148, 12, 36, 60, 84, 108, 132, 156, 180, 204, 228, 252, 276, 300, 324, 348, 308, 12, 36, 60, 84, 108, 132, 156, 180, 204, 228, 252, 276, 300, 324, 348, 372, 396, 420, 444, 468, 492, 516, 540, 564, 588, 612, 636, 660, 684, 708, 732, 628, 12, 36, 60, 84, 108

Offset: 0

Author

Omar E. Pol, Apr 21 2015

Keywords

• nonn
• tabf

Comments

Number of cells turned ON at n-th stage of cellular automaton of A256530.

Similar to A261695 which shares infinitely many terms.

Examples

			With the positive terms written as an irregular triangle in which the row lengths are the terms of A011782 the sequence begins:
1;
8;
12, 28;
12, 36, 60, 68;
12, 36, 60, 84, 108, 132, 156, 148;
12, 36, 60, 84, 108, 132, 156, 180, 204, 228, 252, 276, 300, 324, 348, 308;
...
The terms of the rows that start with 12 are also the initial terms of A073762, except the last term of every row, hence rows converge to A073762.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..8191
• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A011782, A073762, A139251, A147582, A161411, A161415, A256530, A261695.

Programs

Mathematica

With[{z=7},Differences[Join[{0,0},Flatten[Array[(2^#-1)^2+12Range[0,2^(#-1)-1]^2&,z]]]]] (* Generates 2^z terms *) (* Paolo Xausa, Nov 15 2023, after Omar E. Pol *)