A138197 Array read by antidiagonals: T(n,k) = T(n-1,k) + T(n,k+1) - T(n,k+2).

2, 3, 0, 5, 1, 0, 7, 1, -3, -2, 11, 5, -1, -5, -2, 13, 7, 1, -5, -5, 14, 17, 11, 5, -5, -21, -27, 24, 19, 13, 11, 11, 1, -37, -91, -54, 23, 13, 5, 5, 17, 27, -13, -153, -294, 29, 21, 11, -1, -9, 3, 49, 87, -57, -588, 31, 23, 17, 13, 5, -19, -51, -9, 237, 527, -156, 37, 27, 15, 7, 15, 35, 7, -159, -347, 95, 1871, 3212, 41, 35, 25, 5, -15

Offset: 1

Author

Zak Seidov, Mar 05 2008

Keywords

• sign
• tabl

Comments

Rule A096379 applied recursively.

Examples

			Top left corner of array:
     2,    3,     5,     7,   11,   13,    17,    19,   23,  29, ... = A000040
     0,    1,     1,     5,    7,   11,    13,    13,   21,  23, ... = A096379
     0,   -3,    -1,     1,    5,   11,     5,    11,   17,  15, ...
    -2,   -5,    -5,    -5,   11,    5,    -1,    13,    7,   5, ...
    -2,   -5,   -21,     1,   17,   -9,     5,    15,  -15,  -9, ...
    14,  -27,   -37,    27,    3,  -19,    35,     9,  -71,  -5, ...
    24,  -91,   -13,    49,  -51,    7,   115,   -57, -167,  69, ...
   -54, -153,    87,    -9, -159,  179,   225,  -293, -217, 223, ...
  -294,  -57,   237,  -347, -205,  697,   149,  -733,  -59, 341, ...
  -588,  527,    95, -1249,  343, 1579,  -525, -1133,  335, 271, ...
  -156, 1871, -1497, -2485, 2447, 2187, -1993, -1069,  643, 261, ...
  ...
		

Crossrefs

Cf. A000040, A096379.

Formula

T(0,k) = A000040(k), and T(n,k) = T(n-1,k) + T(n,k+1) - T(n,k+2).

Extensions

Typo corrected by Travis Hoppe, Apr 24 2008