A182633 -id:A182633 - cp's OEIS frontend

A253771 First differences of A253770.

0, 6, 18, 18, 54, 18, 54, 54, 126, 54, 54, 54, 126, 90, 126, 162, 306, 162, 54, 54, 126, 90, 126, 162, 306, 198, 126, 162, 306, 306, 342, 414, 702, 486, 126, 54, 126, 90, 126, 162, 306, 198, 126, 162, 306, 306, 342, 414, 702, 522, 198, 162

Offset: 0

Omar E. Pol, Jan 13 2015

Number of cells turned "ON" at n-th stage of cellular automaton of A253770.

Also 6 times the number of Y-toothpicks added at n-th stage in the Y-toothpick structure of A160120.

			Positive terms can be written as a triangle in which row lengths is A011782 as shown below:
6;
18;
18,  54;
18,  54,54,126;
54,  54,54,126,90,126,162,306;
162, 54,54,126,90,126,162,306,198,126,162,306,306,342,414,702;
486,126,54,126,90,126,162,306,198,126,162,306,306,342,414,702,522,198,162,...

Cf. A139251, A147582, A151724, A160121, A161645, A182633, A250301, A253770.

a(n) = 6*A160121(n).

A182837 Number of toothpick added at n-th stage to the toothpick structure of A182836.

Original entry on oeis.org

0, 1, 2, 4, 8, 12, 12, 12, 20, 20, 16, 20

Offset: 0

Omar E. Pol, Dec 12 2010

First differences of A182836.

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 toothpick sequences

Cf. A139250, A139251, A152980, A182633, A182635, A182836, A182841.

A250301 First differences of A250300.

Original entry on oeis.org

0, 3, 3, 6, 12, 12, 6, 12, 18, 18, 18, 18, 36, 36, 12, 24, 30, 18, 18, 24, 42, 54, 42, 36, 60, 66, 54, 48, 90, 90, 30, 54, 54, 18, 18, 24, 42, 54, 42, 42, 66, 78, 78, 78, 114, 150, 102, 72, 108

Offset: 0

Omar E. Pol, Jan 17 2015

Number of cells turned "ON" at n-th stage of cellular automaton of A250300.

Compare A161645.

			Positive terms can be written as a triangle in which row lengths is A011782 as shown below:
3;
3;
6,  12;
12,  6, 12, 18;
18, 18, 18, 36, 36, 12, 24, 30;
18, 18, 24, 42, 54, 42, 36, 60, 66, 54, 48, 90, 90, 30, 54, 54;
18, 18, 24, 42, 54, 42, 42, 66, 78, 78, 78, 114, 150, 102, 72, 108, ...

Cf. A139251, A147582, A151724, A160121, A161645, A182633, A250300, A253771.

cp's OEIS Frontend

A253771 First differences of A253770.

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A182837 Number of toothpick added at n-th stage to the toothpick structure of A182836.

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A250301 First differences of A250300.

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