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Triangle T(n,m) = numerator of 1/n^2-1/(n-m)^2, read by rows.
1

%I #5 Mar 30 2012 18:52:05

%S 0,0,-3,0,-5,-8,0,-7,-3,-15,0,-9,-16,-21,-24,0,-11,-5,-1,-2,-35,0,-13,

%T -24,-33,-40,-45,-48,0,-15,-7,-39,-3,-55,-15,-63,0,-17,-32,-5,-56,-65,

%U -8,-77,-80,0,-19,-9,-51,-4,-3,-21,-91,-6,-99,0,-21,-40,-57,-72,-85,-96

%N Triangle T(n,m) = numerator of 1/n^2-1/(n-m)^2, read by rows.

%C The triangle contains the initial values of the array described in A172370.

%C Ignoring details of column indexing, these are the negated values of A061035.

%e The triangle starts in column n=1, rows 0<=m<n as

%e 0;

%e 0,-3;

%e 0,-5,-8;

%e 0,-7,-3,-15;

%e 0,-9,-16,-21,-24;

%K sign,easy,tabl

%O 1,3

%A _Paul Curtz_, Mar 11 2010

%E Comments compactified with reference to A172370, formula and example added - _R. J. Mathar_, Nov 23 2010