A137756 - OEIS

A137756

Nontrivial elements in writing the numerator of an element first and then the denominator of that element (left to right) of Leibniz's harmonic-like triangle. That is, the nontrivial elements of A137752.

%I #7 Jun 22 2013 16:06:10

%S 2,2,3,5,6,3,4,7,12,7,12,4,5,9,20,31,30,9,20,5,6,11,30,49,60,49,60,11,

%T 30,6,7,13,42,71,105,209,140,71,105,13,42,7,8,15,56,97,168,351,280,

%U 351,280,97,168,15,56,8,9,17,72,127,252,545,504,1471

%N Nontrivial elements in writing the numerator of an element first and then the denominator of that element (left to right) of Leibniz's harmonic-like triangle. That is, the nontrivial elements of A137752.

%e 1/1; -->

%e 1/2, 1/2; --> 2 2

%e 1/3, 5/6, 1/3; --> 3 5 6 3

%e 1/4, 7/12, 7/12, 1/4; --> ...

%e 1/5, 9/20, 31/30, 9/20, 1/5;

%Y Cf. A003506; A007622; A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755.

%K frac,nonn,tabf,less

%O 1,1

%A _Mohammad K. Azarian_, Feb 10 2008