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A275705 A variation of the Zorach additive triangle, read by rows. 1

%I #16 Aug 12 2016 06:22:36

%S 1,-2,-1,-3,-5,-6,-4,-7,-12,-18,-9,-13,-20,-32,-50,11,2,-11,-31,-63,

%T -113,3,14,16,5,-26,-89,-202,6,9,23,39,44,18,-71,-273,4,10,19,42,81,

%U 125,143,72,-201,8,12,22,41,83,164,289,432,504,303,7,15,27,49,90

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

%C 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).

%C Is this a permutation of the nonzero integers?

%H Max Barrentine, <a href="/A275705/b275705.txt">Rows n = 1..50 of triangle, flattened</a>

%Y Cf. A035312.

%K sign,tabl

%O 1,2

%A _Max Barrentine_, Aug 06 2016

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Last modified April 25 12:53 EDT 2024. Contains 371969 sequences. (Running on oeis4.)