Sequence A045619: Product of 2 or more consecutive integers

This sequence, Sloane's A045619, consists of numbers that can be expressed as a product of two or more consecutive integers.

Most of the terms in this sequence are oblong numbers, numbers of the form n(n+1), such as 6=2×3 and 132=11×12.

Here are the terms up to 10000. The oblong numbers are shown in italics, and members of sequence A100934 are shown in bold:

0, 2, 6, 12, 20, 24, 30, 42, 56, 60, 72, 90, 110, 120, 132, 156, 182, 210, 240, 272, 306, 336, 342, 360, 380, 420, 462, 504, 506, 552, 600, 650, 702, 720, 756, 812, 840, 870, 930, 990, 992, 1056, 1122, 1190, 1260, 1320, 1332, 1406, 1482, 1560, 1640, 1680, 1716, 1722, 1806, 1892, 1980, 2070, 2162, 2184, 2256, 2352, 2450, 2520, 2550, 2652, 2730, 2756, 2862, 2970, 3024, 3080, 3192, 3306, 3360, 3422, 3540, 3660, 3782, 3906, 4032, 4080, 4160, 4290, 4422, 4556, 4692, 4830, 4896, 4970, 5040, 5112, 5256, 5402, 5550, 5700, 5814, 5852, 6006, 6162, 6320, 6480, 6642, 6720, 6806, 6840, 6972, 7140, 7310, 7482, 7656, 7832, 7920, 7980, 8010, 8190, 8372, 8556, 8742, 8930, 9120, 9240, 9312, 9506, 9702, 9900, 10100, ...

Some other sequences are discussed here.

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2014 Dec 07.

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