A151724 First differences of A151723.

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

0,3

References

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).

Links

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.

Example

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

Crossrefs

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

Sequence in context: A315814 A038518 A368220 * A335795 A315815 A298026

Adjacent sequences: A151721 A151722 A151723 * A151725 A151726 A151727

Keyword

nonn

Author

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

Status

approved