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Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057037(n)=j(2n-1).
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%I #4 Mar 30 2012 18:57:04

%S 1,1,2,4,2,5,3,1,5,3,1,6,4,2,8,6,4,2,9,7,5,3,1,9,7,5,3,1,10,8,6,4,2,

%T 12,10,8,6,4,2,13,11,9,7,5,3,1,13,11,9,7,5,3,1,14,12,10,8,6,4,2,16,14,

%U 12,10,8,6,4,2,17,15,13,11,9,7,5,3,1,17,15,13

%N Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057037(n)=j(2n-1).

%C i(2n-1)=A057036(n).

%K nonn

%O 1,3

%A _Clark Kimberling_, Jul 30 2000