cp's OEIS Frontend

A173451 a(n) = A048883(n-1) - A160121(n).

%I A173451 #17 Feb 24 2021 02:48:19
%S A173451 0,0,0,0,0,0,0,6,-6,0,0,6,-6,6,0,30,-24,0,0,6,-6,6,0,30,-24,6,0,30,
%T A173451 -24,24,12,126,-78,-12,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126,-78,-6,
%U A173451 0,30,-24,24,6,114,-90,6,12,126,-54,102,72,450,-228,-60,0,6,-6,6,0
%N A173451 a(n) = A048883(n-1) - A160121(n).
%C A173451 It appears that the absolute value of a(n) is a multiple of 6, see A008588. - _Omar E. Pol_, Dec 06 2013
%H A173451 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 A173451 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 A173451 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e A173451 From _Omar E. Pol_, Dec 06 2013: (Start)
%e A173451 Written as an irregular triangle in which row lengths is A011782 the sequence begins:
%e A173451 .    0;
%e A173451 .    0;
%e A173451 .    0,  0;
%e A173451 .    0,  0,0,6;
%e A173451 .   -6,  0,0,6,-6,6,0,30;
%e A173451 .  -24,  0,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126;
%e A173451 .  -78,-12,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126,-78,-6,0,30,-24,24,6,114,-90,6,12,126,-54,102,72,450;
%e A173451 . -228,-60,0,6,-6,6,0...
%e A173451 (End)
%Y A173451 Cf. A011782, A048883, A139250, A139251, A160120, A160121, A151710, A173066, A173067, A173068, A173452, A173453.
%K A173451 sign,tabf
%O A173451 1,8
%A A173451 _Omar E. Pol_, May 29 2010
%E A173451 More terms from _Nathaniel Johnston_, Nov 15 2010