

A211018


Triangle read by rows: T(n,k) = total area of all squares and rectangles of area 2^(k1) 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
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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



FORMULA



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



KEYWORD



AUTHOR



STATUS

approved



