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 A194443 Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194442. 17
 0, 1, 2, 4, 4, 4, 4, 7, 8, 4, 4, 8, 12, 8, 8, 13, 16, 4, 4, 8, 12, 16, 16, 20, 24, 12, 8, 16, 28, 16, 16, 25, 32, 4, 4, 8, 12, 16, 16, 22, 32, 26, 20, 24, 40, 32, 40, 33, 48, 20, 8, 16, 28, 40, 44, 50, 60, 28, 16, 32, 60, 32, 32, 49, 64, 4, 4, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Essentially the first differences of A194442. It appears that the structure of the "narrow" triangle is much more regular about n=2^k, see formula section. LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA Conjectures for n = 2^k+j, if -6<=j<=6: a(2^k-6) = 2^(k-2), if k >= 3. a(2^k-5) = 2^(k-1), if k >= 3. a(2^k-4) = 2^k-4, if k >= 2. a(2^k-3) = 2^(k-1), if k >= 3. a(2^k-2) = 2^(k-1), if k >= 2. a(2^k-1) = 3*2^(k-2)+1, if k >= 2. a(2^k+0) = 2^k, if k >= 0. a(2^k+1) = 4, if k >= 1. a(2^k+2) = 4, if k >= 1. a(2^k+3) = 8, if k >= 3. a(2^k+4) = 12, if k >= 3. a(2^k+5) = 16, if k >= 4. a(2^k+6) = 16, if k >= 4. End of conjectures. EXAMPLE If written as a triangle: 0, 1, 2, 4,4, 4,4,7,8, 4,4,8,12,8,8,13,16, 4,4,8,12,16,16,20,24,12,8,16,28,16,16,25,32, 4,4,8,12,16,16,22,32,26,20,24,40,32,40,33,48,20,8,16,28... . It appears that rows converge to A194697. CROSSREFS Cf. A139251, A160121, A160407, A161831, A194271, A194441, A194442, A194445, A194694, A194695, A194697. Sequence in context: A063440 A008497 A220497 * A220523 A220527 A183226 Adjacent sequences:  A194440 A194441 A194442 * A194444 A194445 A194446 KEYWORD nonn AUTHOR Omar E. Pol, Aug 29 2011 STATUS approved

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Last modified June 20 19:36 EDT 2019. Contains 324234 sequences. (Running on oeis4.)