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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

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

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.

Sequence in context: A058202 A327452 A257982 * A217036 A127201 A225844

Adjacent sequences: A275702 A275703 A275704 * A275706 A275707 A275708

KEYWORD

sign,tabl

AUTHOR

Max Barrentine, Aug 06 2016

STATUS

approved