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A159786
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Total area of all squares and rectangles after n-th stage in the toothpick structure of A139250, assuming the toothpicks have length 2.
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12
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0, 0, 0, 4, 8, 8, 12, 32, 48, 48, 52, 64, 72, 76, 104, 176, 224, 224, 228, 240, 248, 252, 280, 336, 368, 372, 392, 424, 444, 480, 608, 864, 960, 960, 964, 976, 984, 988, 1016, 1072, 1104, 1108, 1128, 1160, 1180, 1216, 1344, 1536, 1632, 1636, 1656
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OFFSET
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0,4
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COMMENTS
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Note that if n > 1 is a power of 2 then a(n) = n^2 - 2n.
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LINKS
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Table of n, a(n) for n=0..50.
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
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FORMULA
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a(2^k) = A211012(k). - Omar E. Pol, Sep 25 2012
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CROSSREFS
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Cf. A139250, A139251, A159787, A159788, A159789, A159796.
Sequence in context: A273456 A014198 A316316 * A083744 A255992 A273572
Adjacent sequences: A159783 A159784 A159785 * A159787 A159788 A159789
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol, Apr 28 2009
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EXTENSIONS
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More terms from Omar E. Pol, Sep 25 2012
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STATUS
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approved
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