%I A137752
%S A137752 1,1,1,2,1,2,1,3,5,6,1,3,1,4,7,12,7,12,1,4,1,5,9,20,31,30,9,20,1,5,1,6,
%T A137752 11,30,49,60,49,60,11,30,1,6,1,7,13,42,71,105,209,140,71,105,13,42,1,7,
%U A137752 1,8,15,56,97,168,351,280,351,280,97,168
%N A137752 First numerator and then denominator (left to right) of Leibniz's harmonic-like 
               triangle.
%C A137752 In this triangle the right-hand edge consists of the reciprocals of the 
               positive integers. A number that is not in this edge is obtained 
               by adding the number diagonally above it to the number to its immediate 
               right. Note that in Leibniz's harmonic triangle we subtract the two 
               numbers to get a number which is not on the right-hand edge.
%e A137752 1/1; 1/2, 1/2; 1/3, 5/6, 1/3; 1/4, 7/12, 7/12, 1/4; 1/5, 9/20, 31/30, 
               9/20, 1/5;
%Y A137752 Cf. A003506; A007622; A046201; A046204; A046205; A046206; A046208; A046212.
%Y A137752 Cf. A137753
%Y A137752 Sequence in context: A058753 A133117 A051276 this_sequence A081169 A030359 
               A035400
%Y A137752 Adjacent sequences: A137749 A137750 A137751 this_sequence A137753 A137754 
               A137755
%K A137752 frac,nonn,tabl
%O A137752 1,4
%A A137752 Mohammad K. Azarian (azarian(AT)evansville.edu), Feb 10 2008