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Triangle formed by reading the triangle of Eulerian numbers (A173018) mod 2.
10

%I #9 Aug 05 2017 14:40:42

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

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

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

%N Triangle formed by reading the triangle of Eulerian numbers (A173018) mod 2.

%C Apart from a shift in indexing, this is identical to Pascal's triangle mod 2, A047999.

%e Triangle begins:

%e 1,

%e 1, 0,

%e 1, 1, 0,

%e 1, 0, 1, 0,

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

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

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

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

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

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

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

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

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

%e ...

%Y For the Eulerian triangle itself see A008292, A123125, A173018.

%Y For the version in A173018 read mod m for m=2 through 10 see A290452-A290460. See also A047999.

%K nonn,tabl

%O 0

%A _N. J. A. Sloane_, Aug 05 2017