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Triangle read by rows in which each row contains a finite triangle as shown below.
2

%I #2 Mar 30 2012 17:34:03

%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,

%T 1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,

%U 1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1

%N Triangle read by rows in which each row contains a finite triangle as shown below.

%C See also A159800, A164002, A167850 and A167852.

%e The main triangle begins:

%e 1,

%e 1,1,1,

%e 1,1,1,1,1,1,

%e 1,1,1,1,0,1,1,1,1,1,

%e 1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,

%e 1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,1,1,1,1,

%e 1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,1,1,1,1,

%e 1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,

%e In which row 1 contains a vertex, only:

%e 1,

%e Row 2 contains the triangle:

%e 1,

%e 1,1,

%e Row 3 contains the triangle:

%e 1,

%e 1,1,

%e 1,1,1,

%e Row 4 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,1,1,1,

%e Row 5 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,1,1,1,1,

%e Row 6 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,0,0,0,1,

%e 1,1,1,1,1,1,

%e Row 7 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,0,1,0,1,

%e 1,0,0,0,0,1,

%e 1,1,1,1,1,1,1,

%e Row 8 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,0,1,0,1,

%e 1,0,1,1,0,1,

%e 1,0,0,0,0,0,1,

%e 1,1,1,1,1,1,1,1,

%e Row 9 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,0,1,0,1,

%e 1,0,1,1,0,1,

%e 1,0,1,1,1,0,1,

%e 1,0,0,0,0,0,0,1,

%e 1,1,1,1,1,1,1,1,1,

%e Row 10 contains the triangle:

%e 1,

%e 1,1,

%e 1,0,1,

%e 1,0,0,1,

%e 1,0,1,0,1,

%e 1,0,1,1,0,1,

%e 1,0,1,0,1,0,1,

%e 1,0,1,1,1,1,0,1,

%e 1,0,0,0,0,0,0,0,1,

%e 1,1,1,1,1,1,1,1,1,1,

%e And so on...

%Y Cf. A159800, A164002, A167850, A167852.

%K easy,nonn,tabf

%O 1,1

%A _Omar E. Pol_, Nov 13 2009