%I #11 Feb 09 2022 09:10:07
%S 1,0,2,-2,2,2,2,-6,2,2,2,-2,6,6,-2,-14,2,2,2,-2,6,6,-2,-10,6,6,2,2
%N Convolved with the toothpick sequence A139250 = (2*n - 1): (1, 3, 5, 7, ...).
%C The sequence convolved with (1, 2, 2, 2, ...) = A139251, (1, 2, 4, 4, 4, 8, 12, ...); i.e., first difference row of the toothpick sequence A139250.
%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, A139251.
%K sign,more
%O 1,3
%A _Gary W. Adamson_, May 25 2009