A174190 Triangle T(n,m) = numerator of 1/n^2-1/(n-m)^2, read by rows.

0, 0, -3, 0, -5, -8, 0, -7, -3, -15, 0, -9, -16, -21, -24, 0, -11, -5, -1, -2, -35, 0, -13, -24, -33, -40, -45, -48, 0, -15, -7, -39, -3, -55, -15, -63, 0, -17, -32, -5, -56, -65, -8, -77, -80, 0, -19, -9, -51, -4, -3, -21, -91, -6, -99, 0, -21, -40, -57, -72, -85, -96

Offset

1,3

Comments

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

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

Links

Table of n, a(n) for n=1..62.

Example

The triangle starts in column n=1, rows 0<=m<n as
0;
0,-3;
0,-5,-8;
0,-7,-3,-15;
0,-9,-16,-21,-24;

Crossrefs

Sequence in context: A052123 A285471 A258113 * A061035 A225233 A021331

Adjacent sequences: A174187 A174188 A174189 * A174191 A174192 A174193

Keyword

sign,easy,tabl

Author

Paul Curtz, Mar 11 2010

Extensions

Comments compactified with reference to A172370, formula and example added - R. J. Mathar, Nov 23 2010

Status

approved