OFFSET
1,2
COMMENTS
This is a "backward" generalized go sequence defined by Yasutoshi Kohmoto.
EXAMPLE
Triangle starts:
1
2,91
4,89,182,-89
8,85,178,-85,364,-271,-178,271
16,77,170,-77,356,-263,-170,263,728,-635,-542,635,-356,449,542,-449
32,61,154,-61,340,-247,-154,247,712,-619,-526,619,-340,433,526,-433,1456,-1363,-1270,1363,-1084,1177,1270,-1177,-712,805,898,-805,1084,-991,-898,991
Each term, a, produces 2 new terms by rule {2a,2(k-a)-1}, k=47. Length of each n-th row = 2^(n-1).
First term of n-th row = 2^n
2n term of n-th row = (2k-1)-2^(n-1)=93-2^(n-1) = 91,89,85,77,61,29.
Last term of n-th row = (1/3)(2k-1+(k-2) (-2)^n)=31+15(-2)^n = 1,91,-89, 271,-449,991.
MATHEMATICA
s={1}; Do[Print[s]; s={2#, 2(k-#)-1}&/@s//Flatten, {6}]
CROSSREFS
KEYWORD
tabf,sign
AUTHOR
Zak Seidov, May 13 2008
STATUS
approved