

A079210


Positive divisors of n!, listed in increasing order for each n, a new row for each n.


38



1, 1, 2, 1, 2, 3, 6, 1, 2, 3, 4, 6, 8, 12, 24, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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OFFSET

1,3


COMMENTS

Elements per row: 1,2,4,8,16,30,... (given by A027423, number of positive divisors of n!)
This sequence is the same as A070861 for the first 38 terms, but differs thereafter.


LINKS

Table of n, a(n) for n=1..61.


EXAMPLE

First few rows are:
1;
1,2;
1,2,3,6;
1,2,3,4,6,8,12,24;
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120;
...


MATHEMATICA

Flatten[Table[Divisors[n!], {n, 6}]] (* Harvey P. Dale, Mar 13 2011 *)


PROG

(MAGMA) [Divisors(Factorial(n)): n in [1..10]]; // Vincenzo Librandi, Jun 19 2015
(PARI) tabf(nn) = for (n=1, nn, print(divisors(n!))); \\ Michel Marcus, Jun 19 2015


CROSSREFS

Cf. A027423, A062569 (row sums), A070861.
Sequence in context: A057192 A078777 A135938 * A070861 A277566 A261144
Adjacent sequences: A079207 A079208 A079209 * A079211 A079212 A079213


KEYWORD

nonn,tabf


AUTHOR

Christian van den Bosch (cjb(AT)cjb.ie), Jan 03 2003


STATUS

approved



