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