%I #16 May 11 2015 17:38:40
%S 1,2,3,6,4,12,5,20,30,60,7,42,105,140,8,56,168,280,9,72,252,504,630,
%T 10,90,360,840,1260,11,110,495,1320,2310,2772,132,660,1980,3960,5544,
%U 13,156,858,2860,6435,10296,12012,14,182,1092,4004,10010,18018,24024,15
%N Distinct numbers in the triangle of denominators in Leibniz's Harmonic Triangle.
%C Numbers in the order in which they appear in Leibniz's Harmonic Triangle (A003506). This sequence is a permutation of the natural numbers. - _Robert G. Wilson v_, Jun 12 2014
%D L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 83, Problem 25.
%H Ivan Neretin, <a href="/A046202/b046202.txt">Table of n, a(n) for n = 1..10000</a>
%e 1/1; 1/2, 1/2; 1/3, 1/6, 1/3; 1/4, 1/12, 1/12, 1/4; 1/5, 1/20, 1/30, 1/20, 1/5; ...
%t t[n_, k_] := Denominator[n!*k!/(n + k + 1)!]; DeleteDuplicates@ Flatten@ Table[t[n - k, k], {n, 0, 14}, {k, 0, n/2}] (* _Robert G. Wilson v_, Jun 12 2014 *)
%Y Cf. A003506, A046201, A014631.
%K tabf,nonn,easy
%O 1,2
%A _Mohammad K. Azarian_
%E More terms from _James A. Sellers_, Dec 13 1999