A195504 Product of numbers up to n-1 used as divisors in A008336(n), n >= 2; a(1) = 1.

1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 60, 60, 720, 720, 10080, 10080, 10080, 10080, 181440, 181440, 3628800, 3628800, 79833600, 79833600, 79833600, 79833600, 2075673600, 2075673600, 58118860800, 58118860800, 1743565824000, 1743565824000, 1743565824000, 1743565824000

Offset

1,7

Comments

This sequence provides more insight into the asymptotic behavior of log(A008336(n)). - Daniel Forgues, Sep 21 2011

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..500

Formula

Sqrt((n-1)! / A008336(n)), n >= 1.

Maple

A008336 := proc(n) option remember; if(n=1)then 1: elif(procname(n-1) mod (n-1)=0)then procname(n-1)/(n-1): else procname(n-1)*(n-1): fi: end: A195504 := proc(n) option remember: if(n=1)then 1: elif(A008336(n)<A008336(n-1))then (n-1)*procname(n-1): else procname(n-1): fi: end: seq(A195504(n), n=1..40); # Nathaniel Johnston, Sep 29 2011

Crossrefs

Cf. A008336, A000142.

Sequence in context: A116571 A054641 A024731 * A098537 A276861 A131703

Adjacent sequences: A195501 A195502 A195503 * A195505 A195506 A195507

Keyword

nonn,easy

Author

Daniel Forgues, Sep 19 2011

Status

approved