|
|
A159786
|
|
Total area of all squares and rectangles after n-th 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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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), 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
|
|
FORMULA
|
a(2^k) = A211012(k). - Omar E. Pol, Sep 25 2012
|
|
CROSSREFS
|
Cf. A139250, A139251, A159787, A159788, A159789, A159796.
Sequence in context: A014198 A316316 A333288 * A083744 A255992 A273572
Adjacent sequences: A159783 A159784 A159785 * A159787 A159788 A159789
|
|
KEYWORD
|
nonn,changed
|
|
AUTHOR
|
Omar E. Pol, Apr 28 2009
|
|
EXTENSIONS
|
More terms from Omar E. Pol, Sep 25 2012
|
|
STATUS
|
approved
|
|
|
|