cp's OEIS Frontend

A333665 Numbers that occur in A057144 arranged in ascending order.

%I A333665 #25 Aug 30 2022 14:23:27
%S A333665 1,2,4,6,12,24,36,60,120,240,360,720,840,1680,2520,5040,10080,27720,
%T A333665 30240,55440,110880,166320,332640,720720,1441440,2162160,3603600,
%U A333665 4324320
%N A333665 Numbers that occur in A057144 arranged in ascending order.
%C A333665 30240 is the smallest term that is not highly composite (A002182).
%C A333665 From _Hal M. Switkay_, Jul 25 2022: (Start)
%C A333665 It appears that each term is the least number having its prime signature (A025487).
%C A333665 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.
%C A333665 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)
%H A333665 Benjamin Dickman, <a href="https://math.stackexchange.com/questions/776447/what-number-appears-most-often-in-an-n-times-n-multiplication-table">What number appears most often in a n X n multiplication table?</a>, Mathematics StackExchange, May 2014.
%e A333665 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
%Y A333665 Cf. A002182, A057144.
%K A333665 nonn,more
%O A333665 1,2
%A A333665 _Dmitry Kamenetsky_, Sep 03 2020
%E A333665 a(20)-a(28) from _Hal M. Switkay_, using the b-file of A057144, Jul 25 2022