A151837 -id:A151837 - cp's OEIS frontend

A151710 First differences of A160715.

1, 3, 3, 9, 3, 9, 9, 21, 3, 9, 9, 21, 15, 21, 27, 51, 3, 9, 9, 21, 15, 21, 27, 51, 21, 21, 27, 51

Offset: 1

Omar E. Pol, Jun 02 2009

Number of Y-toothpick added at n-th stage to the structure of A160715.

Similar to A160121. [From Omar E. Pol, May 29 2010]

			Contribution from _Omar E. Pol_, Dec 18 2012 (Start):
Written as an irregular triangle begins:
1;
3;
3, 9;
3, 9, 9, 21;
3, 9, 9, 21, 15, 21, 27, 51;
3, 9, 9, 21, 15, 21, 27, 51, 21, 21, 27, 51,...
(End)

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

Cf. A000225, A006516, A139250, A160120.

Cf. A048883, A139251, A151837, A160121.

More terms from Omar E. Pol, May 29 2010

A151836 First differences of A147552.

Original entry on oeis.org

1, 4, 4, 12, 4, 12, 12, 28, 4, 12, 12, 28, 20, 28, 36, 68, 4, 12, 12, 28, 20, 28, 36, 68, 36, 28, 36, 68, 68, 76, 100, 172, 12, 28, 12, 28, 20, 28, 36, 68, 36, 28, 36, 68, 68, 76, 100, 172, 76, 28, 36, 68, 68, 76

Offset: 1

N. J. A. Sloane, Jul 13 2009

nonn

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

Cf. A139250, A147552, A151837, A160721.

Terms after a(30) from Nathaniel Johnston, Mar 27 2011

A173465 a(n) = A151710(n+1)/3.

Original entry on oeis.org

1, 1, 3, 1, 3, 3, 7, 1, 3, 3, 7, 5, 7, 9, 17, 1, 3, 3, 7, 5, 7, 9, 17, 7, 7, 9, 17, 17, 19, 23, 39, 1

Offset: 1

Omar E. Pol, May 29 2010

First 23 terms the same as A151837.

			If written as a triangle, begins:
1;
1,3;
1,3,3,7;
1,3,3,7,5,7,9,17;
1,3,3,7,5,7,9,17,7,7,9,17,17,19,23,39;

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

Cf. A139251, A151837, A160120, A160121, A160123.

cp's OEIS Frontend

A151710 First differences of A160715.

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A151836 First differences of A147552.

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A173465 a(n) = A151710(n+1)/3.

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