%I A133080
%S A133080 1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
%T A133080 1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1
%N A133080 Interpolation operator, companion to A133081.
%C A133080 Row sums = A000034: (1, 2, 1, 2, 1, 2,...). A133080 * [1,2,3,...] = A114753: 
               (1, 3, 3, 7, 5, 11, 7, 15,...). Inverse of A133080: sub diagonal 
               changes to (-1, 0, -1, 0, -1,...); main diagonal unchanged. A133080^(-1) 
               * [1,2,3,...] = A093178: (1, 1, 3, 1, 5, 1, 7, 1, 9,...). In A133081, 
               diagonal terms are switched with subdiagonal terms.
%F A133080 Infinite lower triangular matrix, (1,1,1...) in the main diagonal and 
               (1,0,1,0,1,...) in the subdiagonal. Odd rows, (n-1) zeros followed 
               by "1". Even rows, (n-2) zeros followed by "1, 1".
%e A133080 First few rows of the triangle are:
%e A133080 1;
%e A133080 1, 1;
%e A133080 0, 0, 1;
%e A133080 0, 0, 1, 1;
%e A133080 0, 0, 0, 0, 1;
%e A133080 0, 0, 0, 0, 1, 1;
%e A133080 0, 0, 0, 0, 0, 0, 1;
%e A133080 ...
%Y A133080 Cf. A000034, A114753, A093178, A133081.
%Y A133080 Sequence in context: A128189 A115512 A115513 this_sequence A010815 A080995 
               A121373
%Y A133080 Adjacent sequences: A133077 A133078 A133079 this_sequence A133081 A133082 
               A133083
%K A133080 nonn
%O A133080 1,1
%A A133080 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 08 2007