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A133411 Smallest highly composite number of the form k*a(n-1) where k is an integer greater than 1. 5

%I #16 May 04 2022 12:16:24

%S 1,2,4,12,24,48,240,720,5040,10080,20160,221760,665280,8648640,

%T 17297280,294053760,5587021440,27935107200,642507465600,1927522396800,

%U 13492656777600,26985313555200,782574093100800,24259796886124800

%N Smallest highly composite number of the form k*a(n-1) where k is an integer greater than 1.

%C Conjecture: subsequence of A019505.

%H Antti Karttunen, <a href="/A133411/b133411.txt">Table of n, a(n) for n = 1..223</a> (computed from the 10000 term b-file of A002182 prepared from Flammenkamp's data)

%e 6 is not in the sequence because 6 is not a multiple of 4, the previous term.

%o (PARI)

%o sublist_of_first_proper_multiple_terms_of(v) = { my(u=v[1], lista=List(u)); for(i=2,#v,if((v[i]>u)&&!(v[i]%u), u = v[i]; listput(lista,u))); Vec(lista); };

%o v133411 = sublist_of_first_proper_multiple_terms_of(v002182); \\ v002182 contains the terms of A002182.

%o A133411(n) = v133411[n]; \\ _Antti Karttunen_, Jan 10 2020

%Y Cf. A002182, A019505, A328521, A330744 (primorial deflation).

%K nonn

%O 1,2

%A _J. Lowell_, Nov 25 2007

%E a(12)-a(24) from _Donovan Johnson_, Sep 09 2008

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Last modified August 30 10:20 EDT 2024. Contains 375542 sequences. (Running on oeis4.)