%I #37 May 28 2024 15:12:07
%S 1,7,15,24,40,60,120,180,336,360,720,840,1260,1440,1680,2520,5040,
%T 7560,10080,15120,20160,25200,27720,45360,50400,55440,83160,110880,
%U 166320,221760,277200,332640,498960,554400,665280,720720,1081080,1441440,2162160,2882880
%N Positive integers that have more Brazilian representations than any smaller positive integer.
%C By analogy with highly composite numbers (A002182), these numbers could be called highly Brazilian numbers.
%C Also, records in A284758.
%C The representation n = 11_(n-1) is allowed in A066044, but it is not allowed for Brazilian numbers. Hence 3 = 11_2 = A066044(2) is not Brazilian and therefore not highly Brazilian. However, except for 3, the sequences A066044 and this one are the same.
%C The first time the name "highly Brazilian number" was used is in Daniel Lignon's book in reference. - _Bernard Schott_, Jul 27 2020
%D D. Lignon, Dictionnaire de (presque) tous les nombres entiers, Editions Ellipses, 2012, see p. 420. [In French.]
%H Bernard Schott, <a href="/A329383/b329383.txt">Table of n, a(n) for n = 1..91</a>.
%H Wikipédia, <a href="https://fr.wikipedia.org/wiki/Nombre_br%C3%A9silien">Nombre brésilien</a> (last paragraph).
%e 40 is a term since 40 = 1111_3 = 55_7 = 44_9 = 22_19 and it's the smallest number with 4 representations as a Brazilian number.
%Y Cf. A066044, A279930, A284758, A309039, A309493, A371812.
%K nonn,base
%O 1,2
%A _Daniel Lignon_, Dec 30 2019