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Joint-rank array of numbers j*r^(i-1), where r=1+sqrt(3), read by antidiagonals.
2

%I #8 Mar 30 2012 18:57:12

%S 1,2,3,4,7,10,5,12,21,30,6,15,34,61,85,8,19,44,95,172,237,9,24,56,125,

%T 262,476,652,11,28,68,157,347,718,1307,1788,13,32,80,190,435,955,1965,

%U 3579,4891,14,37,91,222,524,1196,2618,5373,9786,13371,16,41,104

%N Joint-rank array of numbers j*r^(i-1), where r=1+sqrt(3), read by antidiagonals.

%C Joint-rank arrays are defined in the first comment at A182801. Every positive integer occurs exactly once, so that as a sequence A182832 is a permutation of the positive integers.

%F T(i,j)=SUM{floor(j*(1+sqrt(3))^(i-n)): n>=1}.

%e Northwest corner:

%e 1....2....4....5....6...

%e 3....7...12...15...19...

%e 10..21...34...44...56...

%e 30..61...95..125..157...

%Y Cf. A182801.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Dec 07 2010