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%I #23 Mar 23 2021 10:41:45
%S 0,1,6,6,18,6,18,30,42,6,18,30,54,54,42,78,90,6,18,30,54,54,54,102,
%T 150,102,42,78,138,162,114,186,186,6,18,30,54,54,54,102,150,102,54,
%U 102,174,222,198,246,342,198,42,78,138,162,162,258,402,354,162,186
%N First differences of A151723.
%D 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).
%H N. J. A. Sloane, <a href="/A151724/b151724.txt">Table of n, a(n) for n = 0..4095</a> [First 1024 terms from David Applegate and N. J. A. Sloane]
%H David Applegate, <a href="/A139250/a139250.anim.html">The movie version</a>
%H David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="/A000695/a000695_1.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>, 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.]
%H David Applegate and N. J. A. Sloane, <a href="/A151723/a151723.txt">Table of n, A151724(n), A151723(n) for n = 0..1025</a>
%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%H N. J. A. Sloane, <a href="https://www.youtube.com/watch?v=9ogbsh8KuEM">Exciting Number Sequences</a> (video of talk), Mar 05 2021.
%e When written as a triangle:
%e 0,
%e 1,
%e 6,
%e 6,18,
%e 6,18,30,42,
%e 6,18,30,54,54,42,78,90,
%e 6,18,30,54,54,54,102,150,102,42,78,138,162,114,186,186,
%e ...
%e Right border gives 0 together with A068293. - _Omar E. Pol_, Mar 19 2015
%Y Cf. A151723, A170898 (after dividing by 6), A170899, A169759.
%K nonn
%O 0,3
%A _David Applegate_ and _N. J. A. Sloane_, Jun 13 2009
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