A169759 -id:A169759 - cp's OEIS frontend

0, 1, 6, 6, 18, 6, 18, 30, 42, 6, 18, 30, 54, 54, 42, 78, 90, 6, 18, 30, 54, 54, 54, 102, 150, 102, 42, 78, 138, 162, 114, 186, 186, 6, 18, 30, 54, 54, 54, 102, 150, 102, 54, 102, 174, 222, 198, 246, 342, 198, 42, 78, 138, 162, 162, 258, 402, 354, 162, 186

Offset: 0

David Applegate and N. J. A. Sloane, Jun 13 2009

nonn

			When written as a triangle:
0,
1,
6,
6,18,
6,18,30,42,
6,18,30,54,54,42,78,90,
6,18,30,54,54,54,102,150,102,42,78,138,162,114,186,186,
...
Right border gives 0 together with A068293. - _Omar E. Pol_, Mar 19 2015

S. M. Ulam, On some mathematical problems connected with patterns of growth of figures, pp. 215-224 of R. E. Bellman, ed., Mathematical Problems in the Biological Sciences, Proc. Sympos. Applied Math., Vol. 14, Amer. Math. Soc., 1962 (see Example 6, page 224).

N. J. A. Sloane, Table of n, a(n) for n = 0..4095 [First 1024 terms from David Applegate and N. J. A. Sloane]
David Applegate, The movie version
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.]
David Applegate and N. J. A. Sloane, Table of n, A151724(n), A151723(n) for n = 0..1025
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
N. J. A. Sloane, Exciting Number Sequences (video of talk), Mar 05 2021.

Cf. A151723, A170898 (after dividing by 6), A170899, A169759.

cp's OEIS Frontend

A169760 A169759(n)/6.

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A151724 First differences of A151723.

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