A296097 - OEIS

A296097

Triangular numbers that can be represented as a product of two triangular numbers greater than 1, as a product of three triangular numbers greater than 1, and as a product of four triangular numbers greater than 1.

25200, 61425, 145530, 500500, 749700, 828828, 1185030, 2031120, 2162160, 2821500, 4573800, 5364450, 13857480, 17907120, 20991960, 21783300, 24643710, 27162135, 29610360, 30933045, 34283340, 37191000, 40901490, 60769800, 64292130, 71216145, 76576500, 90041490

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OFFSET

1,1

COMMENTS

Triangular numbers in the products need not be distinct, that is, duplicates in the products are allowed.

A subsequence of A188630 and of A295769.

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

25200 = 210 * 120 = 120 * 21 * 10 = 28 * 15 * 10 * 6.

CROSSREFS

Cf. A000217, A188630, A295769.