A333665 Numbers that occur in A057144 arranged in ascending order.

1, 2, 4, 6, 12, 24, 36, 60, 120, 240, 360, 720, 840, 1680, 2520, 5040, 10080, 27720, 30240, 55440, 110880, 166320, 332640, 720720, 1441440, 2162160, 3603600, 4324320

Offset: 1

Author

Dmitry Kamenetsky, Sep 03 2020

Keywords

• nonn
• more

Comments

30240 is the smallest term that is not highly composite (A002182).

From Hal M. Switkay, Jul 25 2022: (Start)

It appears that each term is the least number having its prime signature (A025487).

Although it would be desirable to produce more terms of this sequence, the first 28 terms represent the union of at least the first 20000 terms of A057144.

The smallest of the most frequently occurring numbers in the 1-to-k multiplication table, A057144(k), do not constitute a nondecreasing function of k. Thus the minimal values of k corresponding to terms of this sequence do not form an increasing sequence. For example, A057144(k) = 60 when 20 <= k <= 23 or 30 <= k <= 39; but A057144(k) = 24 when 24 <= k <= 29, and A057144(k) = 36 when 18 <= k <= 19. (End)

Examples

			For 6 <= k <= 11, the smallest of the most frequently occurring numbers in the 1-to-k multiplication table is 6. a(4) = 6, because it is the fourth natural number to be the smallest of the most frequently occurring numbers in the 1-to-k multiplication table. - _Hal M. Switkay_, Jul 27 2022
		

Links

• Benjamin Dickman, What number appears most often in a n X n multiplication table?, Mathematics StackExchange, May 2014.

Crossrefs

Cf. A002182, A057144.

Extensions

a(20)-a(28) from Hal M. Switkay, using the b-file of A057144, Jul 25 2022