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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
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.
Sequence in context: A353403 A300939 A062941 * A290427 A265759 A057674
KEYWORD
nonn,tabl
AUTHOR
Omar E. Pol, Sep 24 2012
STATUS
approved

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Last modified February 21 22:37 EST 2024. Contains 370237 sequences. (Running on oeis4.)