A076983 Smallest triangular number divisible by exactly n triangular numbers.

1, 3, 6, 36, 105, 120, 780, 210, 990, 630, 19110, 7140, 5460, 176715, 25200, 73920, 103740, 145530, 97020, 157080, 4744740, 2386020, 1185030, 2031120, 3483480, 13857480, 8817900, 118572300, 88438350, 39209940, 286071240, 2162160, 472612140, 953993040, 668883600

Offset

1,2

Comments

2*a(n) = smallest oblong number with exactly n oblong divisors. - Ray Chandler, Jun 29 2008

Links

Amiram Eldar, Table of n, a(n) for n = 1..155 (terms 1..80 from Ray Chandler)

Example

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

Crossrefs

Cf. A000217, A076982, A084260.

Sequence in context: A119184 A350991 A084260 * A068084 A003674 A211895

Adjacent sequences: A076980 A076981 A076982 * A076984 A076985 A076986

Keyword

nonn

Author

Amarnath Murthy, Oct 25 2002

Extensions

More terms from Lior Manor Nov 06 2002

More terms from Ray Chandler, Jun 29 2008

Status

approved