

A001041


a(0)=12; thereafter a(n) = 12 times the product of the first n primes.


1



12, 24, 72, 360, 2520, 27720, 360360, 6126120, 116396280, 2677114440, 77636318760, 2406725881560, 89048857617720, 3651003162326520, 156993135980040360, 7378677391061896920, 391069901726280536760, 23073124201850551668840
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OFFSET

0,1


COMMENTS

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
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. AdamsWatters, Jun 13 2015


LINKS

T. D. Noe, Table of n, a(n) for n = 0..100
R. K. Guy, Letters to N. J. A. Sloane, JuneAugust 1968
Index to divisibility sequences


MATHEMATICA

12*FoldList[ #1*Prime[ #2 ]&, 1, Range[ 20 ] ]


PROG

(PARI) a(n)=12*prod(i=1, n, prime(i)); \\ Charles R Greathouse IV, Jan 12 2012
(MAGMA) [12] cat [12*&*[NthPrime(i):i in [1..n]]:n in [1..17]]; // Marius A. Burtea, Feb 11 2020


CROSSREFS

Equals 12 * A002110.
Sequence in context: A145899 A172011 A239635 * A216425 A081751 A120360
Adjacent sequences: A001038 A001039 A001040 * A001042 A001043 A001044


KEYWORD

nonn,easy


AUTHOR

Bob Marshall, 1811 California St., Eureka CA 95501.


EXTENSIONS

More terms from James A. Sellers, Sep 19 2000


STATUS

approved



