cp's OEIS Frontend

A220501 Number of toothpicks or D-toothpicks added at n-th stage in the structure of A220500.

%I A220501 #25 May 03 2018 03:05:02
%S A220501 0,1,4,8,16,22,24,24,36,40,32,44,64,94,72,56,76,72,32,48,80,112,140,
%T A220501 140,140,168,120,132,168,238,168,120,156,136,32,48,80,112,140,144,164,
%U A220501 224,216,256,272,368,324,316,280,296,160,150,232,320,404,432,408,462,300,308,376,526,360,248,316,264,32
%N A220501 Number of toothpicks or D-toothpicks added at n-th stage in the structure of A220500.
%C A220501 Essentially the first differences of A220500.
%H A220501 David Applegate, <a href="/A139250/a139250.anim.html">The movie version</a>
%H A220501 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 A220501 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e A220501 Written as an irregular triangle the sequence begins:
%e A220501 0;
%e A220501 1;
%e A220501 4;
%e A220501 8;
%e A220501 16,22;
%e A220501 24,24,36,40;
%e A220501 32,44,64,94,72,56,76,72;
%e A220501 32,48,80,112,140...
%e A220501 .
%e A220501 From _Omar E. Pol_, May 02 2018: (Start)
%e A220501 Also the nonzero terms can be written as an irregular triangle in which the row lengths are the terms of A011782 multiplied by 2 as shown below:
%e A220501 1,    4;
%e A220501 8,   16;
%e A220501 22,  24, 24, 36;
%e A220501 40,  32, 44, 64,  94,  72,  56,  76;
%e A220501 72,  32, 48, 80, 112, 140, 140, 140, 168, 120, 132, 168, 238, 168, 120, 156;
%e A220501 136, 32, 48, 80, 112, 140, 144, 164, 224, 216, 256, 272, 368, 324, 316, 280, ...
%e A220501 (End)
%Y A220501 Cf. A047999, A139250, A139251, A194271, A194441, A194443, A194701, A220500, A220521, A220523, A220527.
%K A220501 nonn,tabf
%O A220501 0,3
%A A220501 _Omar E. Pol_, Dec 15 2012
%E A220501 Terms a(23) and beyond from _David Applegate_'s movie version. - _Omar E. Pol_, May 02 2018