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Smallest triangular number divisible by exactly n triangular numbers.
9

%I #19 Jun 23 2023 07:48:24

%S 1,3,6,36,105,120,780,210,990,630,19110,7140,5460,176715,25200,73920,

%T 103740,145530,97020,157080,4744740,2386020,1185030,2031120,3483480,

%U 13857480,8817900,118572300,88438350,39209940,286071240,2162160,472612140,953993040,668883600

%N Smallest triangular number divisible by exactly n triangular numbers.

%C 2*a(n) = smallest oblong number with exactly n oblong divisors. - _Ray Chandler_, Jun 29 2008

%H Amiram Eldar, <a href="/A076983/b076983.txt">Table of n, a(n) for n = 1..155</a> (terms 1..80 from Ray Chandler)

%e a(5) = 105 has 5 divisors which are triangular numbers (1, 3, 15, 21 and 105).

%Y Cf. A000217, A076982, A084260.

%K nonn

%O 1,2

%A _Amarnath Murthy_, Oct 25 2002

%E More terms from _Lior Manor_ Nov 06 2002

%E More terms from _Ray Chandler_, Jun 29 2008