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A167364 Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices. 2

%I #7 May 01 2013 04:06:35

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

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

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

%N Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices.

%C Row sums = A048896: (1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4,...). Right border = Thue-Morse sequence A010060, starting with offset 1.

%F Let S = Sierpinski's gasket, A047999. Let Q = a diagonalized version of the Thue-Morse sequence, A010060: [0; 0,1; 0,0,1; 0,0,0,0; 0,0,0,0,1;...], (i.e. A010060 as the rightmost diagonal and the rest zeros). A167364 = S * Q, as infinite lower triangular matrices. Delete leftmost column of zeros.

%e First few rows of the triangle =

%e 1;

%e 0, 1;

%e 1, 1, 0;

%e 0, 0, 0, 1;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%e ...

%Y Cf. A047999, A010060.

%K nonn,tabl

%O 1,1

%A _Gary W. Adamson_ & _Mats Granvik_, Nov 01 2009

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)