

A159786


Total area of all squares and rectangles after nth stage in the toothpick structure of A139250, assuming the toothpicks have length 2.


12



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

0,4


COMMENTS

Note that if n > 1 is a power of 2 then a(n) = n^2  2n.


LINKS

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), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS


FORMULA

a(2^k) = A211012(k).  Omar E. Pol, Sep 25 2012


CROSSREFS

Cf. A139250, A139251, A159787, A159788, A159789, A159796.
Sequence in context: A273456 A014198 A316316 * A083744 A255992 A273572
Adjacent sequences: A159783 A159784 A159785 * A159787 A159788 A159789


KEYWORD

nonn


AUTHOR

Omar E. Pol, Apr 28 2009


EXTENSIONS

More terms from Omar E. Pol, Sep 25 2012


STATUS

approved



