A127139 -id:A127139 - cp's OEIS frontend

A127140 Square of triangle A127139, row sums = A101035.

1, -4, 1, -6, 0, 1, 4, -4, 0, 1, -10, 0, 0, 0, 1, 24, -6, -4, 0, 0, 1, -14, 0, 0, 0, 0, 0, 1, 0, 4, 0, -4, 0, 0, 0, 1, 9, 0, -6, 0, 0, 0, 0, 0, 1, 40, -10, 0, 0, -4, 0, 0, 0, 0, 1

Offset: 1

Gary W. Adamson, Jan 06 2007

Row sums = A101035: (1, -3, -5, 1, -9, 15, ...). A127140 * [1, 2, 3, ...] = A055615: (1, -2, -3, 0, -5, 6, -7, ...).

			First few rows of the triangle:
    1;
   -4,  1;
   -6,  0,  1;
    4, -4,  0,  1;
  -10,  0,  0,  0, 1;
   24, -6, -4,  0, 0, 1;
  -14,  0,  0,  0, 0, 0, 1;
    0,  4,  0, -4, 0, 0, 0, 1;
    9,  0, -6,  0, 0, 0, 0, 0, 1;
  ...

Cf. A127139, A101035, A055615.

Square of A127139.

A162883 Triangle T(n,k) read by rows: k X k determinants ending at the n-th row of A127139.

Original entry on oeis.org

1, -2, 1, -3, 3, 1, 0, 6, -4, 1, -5, -10, -10, 5, 1, 6, 15, 20, 15, -6, 1, -7, -21, 0, 0, -21, 7, 1, 0, 0, 0, 0, -56, 28, -8, 1, 0, 0, 0, 126, 126, 84, -36, 9, 1, 10, 0, 0, -210, -252, -210, 0, 45, -10, 1, -11, -55, 165, 330, 0, 0, 330, -165, -55, 11, 1, 0, -66, 0, -495, -792, 0, 0

Offset: 1

Mats Granvik, Jul 16 2009

Absolute values of nonzero elements appear to be as in Pascal's triangle. The table consists mostly of zeros.

			Table begins:
   1;
  -2,    1;
  -3,    3,    1;
   0,    6,   -4,    1;
  -5,  -10,  -10,    5,    1;
   6,   15,   20,   15,   -6,    1;
  -7,  -21,    0,    0,  -21,    7,    1;
   0,    0,    0,    0,  -56,   28,   -8,    1;
   0,    0,    0,  126,  126,   84,  -36,    9,    1;
  10,    0,    0, -210, -252, -210,    0,   45,  -10,    1;

Cf. A127139, A157379.

cp's OEIS Frontend

A127140 Square of triangle A127139, row sums = A101035.

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