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A211018 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, divided by 8, n>=1, k>=1, assuming the toothpicks have length 2. 4
0, 0, 1, 1, 3, 2, 5, 13, 6, 4, 21, 53, 26, 12, 8, 85, 213, 106, 52, 24, 16, 341, 853, 426, 212, 104, 48, 32, 1365, 3413, 1706, 852, 424, 208, 96, 64, 5461, 13653, 6826, 3412, 1704, 848, 416, 192, 128, 21845, 54613, 27306, 13652, 6824, 3408, 1696, 832, 384, 256 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

All internal regions in the toothpick structure are squares and rectangles. The area of every internal region is a power of 2.

LINKS

Table of n, a(n) for n=1..55.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

FORMULA

T(n,k) = A211017(n,k)/8.

T(n,1) = A002450(n-2), n>=2.

EXAMPLE

0;

0,        1;

1,        3,    2;

5,       13,    6,    4;

21,      53,   26,   12,    8;

85,     213,  106,   52,   24,  16;

341,    853,  426,  212,  104,  48,  32;

1365,  3413, 1706,  852,  424, 208,  96,  64;

5461, 13653, 6826, 3412, 1704, 848, 416, 192, 128;

CROSSREFS

Rows sums give A006516. Right border gives A131577.

Cf. A002450, A072197, A139250, A160124, A211012, A211016, A211017, A211019

Sequence in context: A075146 A300939 A062941 * A290427 A265759 A057674

Adjacent sequences:  A211015 A211016 A211017 * A211019 A211020 A211021

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Sep 24 2012

STATUS

approved

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Last modified April 9 17:48 EDT 2020. Contains 333361 sequences. (Running on oeis4.)