OFFSET
0,2
COMMENTS
T(n,k) is also the number of hidden crosses of size k+1 formed by squares and rectangles in the toothpick structure of A139250 after 2^(n+2) stages. The last term in every row represents the central cross of the toothpick structure.
LINKS
Indranil Ghosh, Rows 0..100, flattened
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
FORMULA
T(n,k) = A000302(n-k).
EXAMPLE
Triangle begins:
1;
4, 1;
16, 4, 1;
64, 16, 4, 1;
256, 64, 16, 4, 1;
1024, 256, 64, 16, 4, 1;
4096, 1024, 256, 64, 16, 4, 1;
16384, 4096, 1024, 256, 64, 16, 4, 1;
65536, 16384, 4096, 1024, 256, 64, 16, 4, 1;
262144, 65536, 16384, 4096, 1024, 256, 64, 16, 4, 1;
1048576, 262144, 65536, 16384, 4096, 1024, 256, 64, 16, 4, 1;
4194304, 1048576, 262144, 65536, 16384, 4096, 1024, 256, 64, 16, 4, 1;
...
MATHEMATICA
Table[4^(n - k), {n, 0, 10}, {k, 0, n}] // Flatten (* Michael De Vlieger, Jul 17 2016 *)
CROSSREFS
KEYWORD
AUTHOR
Omar E. Pol, Nov 23 2015
STATUS
approved