%I A135871
%S A135871 1,0,3,1,0,9,0,6,0,27,1,0,27,0,81,0,9,0,108,0,243,1,0,54,0,405,0,729,0,
%T A135871 12,0,270,0,1458,0,2187
%V A135871 1,0,3,-1,0,9,0,-6,0,27,1,0,-27,0,81,0,9,0,-108,0,243,-1,0,54,0,-405,0,
               729,0,-12,0,270,
%W A135871 0,-1458,0,2187
%N A135871 Triangle by columns: A013610 signed and interleaved with zeros.
%C A135871 Row sums = even indexed Fibonacci numbers, A001906: (1, 3, 8, 21, 55,
               ...) such that the sum of n-th row terms = F(2n). Example: sum of 
               nonzero terms of row 4 = (- 6 + 27) = 21 = F(8).
%F A135871 The triangle starts with A013610, then by columns sign (+, -, +,...) 
               and interleave with zeros.
%e A135871 First few rows of the triangle are:
%e A135871 1;
%e A135871 0, 3;
%e A135871 -1, 0, 9;
%e A135871 0, -6, 0, 27;
%e A135871 1, 0, -27, 0, 81;
%e A135871 0, 9, 0, -108, 0, 243;
%e A135871 -1, 0, 54, 0, -405, 0, 729;
%e A135871 ...
%Y A135871 Cf. A013610, A001906.
%Y A135871 Sequence in context: A162971 A078521 A137432 this_sequence A126178 A094753 
               A143398
%Y A135871 Adjacent sequences: A135868 A135869 A135870 this_sequence A135872 A135873 
               A135874
%K A135871 tabl,sign
%O A135871 1,3
%A A135871 Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 02 2007