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%I #15 Jan 03 2022 21:09:35
%S 0,0,1,1,2,1,5,6,7,2,4,2,6,8,23,28,29,16,14,4,4,-2,9,7,9,-1,9,10,31,
%T 54,103,120,121,92,82,56,48,26,29,11,5,-21,-19,-34,-21,-14,27,29,27,
%U -7,-9,-32,-23,-24
%N Toothpick number A153006(n) minus generalized pentagonal number A001318(n).
%H Nathaniel Johnston, <a href="/A160166/b160166.txt">Table of n, a(n) for n = 0..999</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 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>
%F a(n) = A153006(n) - A001318(n).
%Y Cf. A001318, A139250, A153006, A153007, A159790, A160165.
%K sign
%O 0,5
%A _Omar E. Pol_, May 23 2009
%E a(11) corrected and more terms from _Nathaniel Johnston_, Mar 22 2011
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