|
%I #8 Feb 24 2021 02:48:18
%S 1,4,5,7,6,13,16,13,6,13,17,20,25,42,44,25,6,13,17,20,25,42,45,32,25,
%T 43,54,65,92,128,112,49,6,13,17,20,25,42,45,32,25,43,54,65,92,128,113,
%U 56,25,43,54,65,92,129,122,89,93,140,173,222,312,368,272,97,6,13,17,20,25,42
%N G.f.: (1 + 3x) * Product_{n>=1} (1 + x^(2^n-1) + 2*x^(2^n)).
%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 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>
%Y Cf. A139250, A151550, A151552.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, May 19 2009
|
