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 A194271 Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194270. 18
 0, 1, 4, 8, 16, 22, 24, 22, 40, 40, 32, 32, 56, 74, 96, 50, 88, 72, 32, 48, 72, 104, 128, 112, 144, 144, 152, 96, 152, 178, 240, 122, 184, 136, 32, 48, 72, 108, 144, 144, 184, 188, 200, 176, 272, 274, 416, 250, 288, 272, 216, 144, 208, 292, 384, 332, 376 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Essentially the first differences of A194270. LINKS David Applegate, The movie version N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA a(n) = n^2-(n-1)^2*(1-(-1)^n)/8, if 0 <= n <=4. Let b(n) = A194441(n), let c(n) = A194443(n), let d(n) = A010694(n), then: Conjecture: a(n) = 4*(b(n-1)-d(n)) + 2*(c(n)-d(n+1)) + 2*(c(n+2)-d(n+1)) + 8, if n >= 3. Conjecture: a(2^k+2) = 32, if k >= 3. EXAMPLE Written as a triangle: 0, 1, 4, 8, 16,22, 24,22,40,40, 32,32,56,74,96,50,88,72, 32,48,72,104,128,112,144,144,152,96,152,178,240,122,184,136, 32,48,72,108,144,144,184,188,200,176,272,274,416,250,288,... CROSSREFS Cf. A010694, A129370, A139250, A139251, A172311, A182839, A194270, A194441, A194443, A194445. Sequence in context: A212009 A312809 A312810 * A194701 A220501 A312811 Adjacent sequences:  A194268 A194269 A194270 * A194272 A194273 A194274 KEYWORD nonn AUTHOR Omar E. Pol, Aug 23 2011 EXTENSIONS More terms from Omar E. Pol, Sep 01 2011 STATUS approved

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Last modified January 22 18:38 EST 2019. Contains 319365 sequences. (Running on oeis4.)