%I #36 Sep 08 2022 08:44:28
%S 12,24,72,360,2520,27720,360360,6126120,116396280,2677114440,
%T 77636318760,2406725881560,89048857617720,3651003162326520,
%U 156993135980040360,7378677391061896920,391069901726280536760,23073124201850551668840
%N a(0)=12; thereafter a(n) = 12 times the product of the first n primes.
%C Bob Marshall calls these the "holotomic numbers" and opines: "This sequence, aptly designated as the Holotomic Sequence, represents the minimal plural quantities that accommodate the maximum amount of consecutive factors." Thus this can be seen as a version of A051451. - _Charles R Greathouse IV_, Jan 12 2012
%C If we were to take the maximum number of consecutive factors as the definition, the sequence would be prefixed with 1, 2, 6. - _Franklin T. Adams-Watters_, Jun 13 2015
%H T. D. Noe, <a href="/A001041/b001041.txt">Table of n, a(n) for n = 0..100</a>
%H R. K. Guy, <a href="/A002186/a002186.pdf">Letters to N. J. A. Sloane, June-August 1968</a>
%H <a href="/index/Di#divseq">Index to divisibility sequences</a>
%t 12*FoldList[ #1*Prime[ #2 ]&, 1, Range[ 20 ] ]
%o (PARI) a(n)=12*prod(i=1,n,prime(i)); \\ _Charles R Greathouse IV_, Jan 12 2012
%o (Magma) [12] cat [12*&*[NthPrime(i):i in [1..n]]:n in [1..17]]; // _Marius A. Burtea_, Feb 11 2020
%Y Equals 12 * A002110.
%K nonn,easy
%O 0,1
%A Bob Marshall, 1811 California St., Eureka CA 95501.
%E More terms from _James A. Sellers_, Sep 19 2000