A275705 A variation of the Zorach additive triangle, read by rows.

1, -2, -1, -3, -5, -6, -4, -7, -12, -18, -9, -13, -20, -32, -50, 11, 2, -11, -31, -63, -113, 3, 14, 16, 5, -26, -89, -202, 6, 9, 23, 39, 44, 18, -71, -273, 4, 10, 19, 42, 81, 125, 143, 72, -201, 8, 12, 22, 41, 83, 164, 289, 432, 504, 303, 7, 15, 27, 49, 90

Offset: 1

Author

Max Barrentine, Aug 06 2016

Keywords

• sign
• tabl

Comments

This is a variation of the Zorach additive triangle (A035312), with negative numbers included. Each term is the sum of the terms to its immediate west and northwest, and each member of the first column is chosen such that its absolute value is minimal and no term following it in its own row occurs earlier in the triangle. In the case where m and -m both satisfy these criteria for T(n,1) = |m|, choose the term that minimizes the absolute value of T(n,2).

Is this a permutation of the nonzero integers?

Links

• Max Barrentine, Rows n = 1..50 of triangle, flattened

Crossrefs

Cf. A035312.