cp's OEIS Frontend

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.

%I A211018 #16 Sep 26 2015 01:17:13
%S A211018 0,0,1,1,3,2,5,13,6,4,21,53,26,12,8,85,213,106,52,24,16,341,853,426,
%T A211018 212,104,48,32,1365,3413,1706,852,424,208,96,64,5461,13653,6826,3412,
%U A211018 1704,848,416,192,128,21845,54613,27306,13652,6824,3408,1696,832,384,256
%N 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.
%C A211018 All internal regions in the toothpick structure are squares and rectangles. The area of every internal region is a power of 2.
%H A211018 N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%F A211018 T(n,k) = A211017(n,k)/8.
%F A211018 T(n,1) = A002450(n-2), n>=2.
%e A211018 0;
%e A211018 0,        1;
%e A211018 1,        3,    2;
%e A211018 5,       13,    6,    4;
%e A211018 21,      53,   26,   12,    8;
%e A211018 85,     213,  106,   52,   24,  16;
%e A211018 341,    853,  426,  212,  104,  48,  32;
%e A211018 1365,  3413, 1706,  852,  424, 208,  96,  64;
%e A211018 5461, 13653, 6826, 3412, 1704, 848, 416, 192, 128;
%Y A211018 Rows sums give A006516. Right border gives A131577.
%Y A211018 Cf. A002450, A072197, A139250, A160124, A211012, A211016, A211017, A211019
%K A211018 nonn,tabl
%O A211018 1,5
%A A211018 _Omar E. Pol_, Sep 24 2012