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

1, 2, 4, 12, 24, 48, 240, 720, 5040, 10080, 20160, 221760, 665280, 8648640, 17297280, 294053760, 5587021440, 27935107200, 642507465600, 1927522396800, 13492656777600, 26985313555200, 782574093100800, 24259796886124800

Offset: 1

Author

J. Lowell, Nov 25 2007

Keywords

• nonn

Comments

Conjecture: subsequence of A019505.

Examples

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

Links

• Antti Karttunen, Table of n, a(n) for n = 1..223 (computed from the 10000 term b-file of A002182 prepared from Flammenkamp's data)

Crossrefs

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

Programs

PARI

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); };
v133411 = sublist_of_first_proper_multiple_terms_of(v002182); \\ v002182 contains the terms of A002182.
A133411(n) = v133411[n]; \\ Antti Karttunen, Jan 10 2020

Extensions

a(12)-a(24) from Donovan Johnson, Sep 09 2008