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 A211017 Triangle read by rows: T(n,k) = total area of all squares and rectangles of area 2^(k-1) after 2^n stages in the toothpick structure of A139250, n>=1, k>=1, assuming the toothpicks have length 2. 5
 0, 0, 8, 8, 24, 16, 40, 104, 48, 32, 168, 424, 208, 96, 64, 680, 1704, 848, 416, 192, 128, 2728, 6824, 3408, 1696, 832, 384, 256, 10920, 27304, 13648, 6816, 3392, 1664, 768, 512, 43688, 109924, 54608, 27296, 13632, 6784, 3328, 1536, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS All internal regions in the toothpick structure are squares and rectangles. The area of every internal region is a power of 2. LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA T(n,k) = A211016(n,k)*2^(k-1). T(n,1) = 4*A020988(n-2), n>=2. EXAMPLE For n = 5 in the toothpick structure after 2^5 stages we have that: T(5,1) = 168 is the total area of all squares of size 1X1. T(5,2) = 424 is the total area of all rectangles of size 1X2. T(5,3) = 208 is the total area of all squares of size 2X2 and of all rectangles of size 1X4. T(5,4) = 96 is the total area of all rectangles of size 2X4. T(5,5) = 64 is the total area of all rectangles of size 2X8. Triangle begins: 0; 0,         8; 8,        24,    16; 40,      104,    48,   32; 168,     424,   208,   96,   64; 680,    1704,   848,  416,  192,  128; 2728,   6824,  3408, 1696,  832,  384, 256; 10920, 27304, 13648, 6816, 3392, 1664, 768, 512; CROSSREFS Row sums give A211012. Cf. A020988, A139250, A160124, A211016, A211018, A211019. Sequence in context: A205382 A109049 A160239 * A037018 A246310 A318542 Adjacent sequences:  A211014 A211015 A211016 * A211018 A211019 A211020 KEYWORD nonn,tabl AUTHOR Omar E. Pol, Sep 21 2012 STATUS approved

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Last modified January 17 18:37 EST 2019. Contains 319251 sequences. (Running on oeis4.)