A075998 Product{<n/k>: k=1,2,...,n}, where <x> denotes the integer second nearest to x. (For x=(2h+1)/2, <x> is defined to be h, not h+1; if x is an integer, then <x> is defined to be x+1.)

2, 6, 8, 60, 48, 336, 576, 2160, 3840, 25344, 17280, 262080, 322560, 829440, 1548288, 21150720, 16588800, 73543680, 139345920, 766402560, 1459814400, 9157017600, 4087480320, 90574848000, 130427781120, 361184624640

Offset

1,1

Comments

<x> = 2[x]-[x+1/2]+1 (Joe Stickles, University of Evansville).

Links

Table of n, a(n) for n=1..26.

Example

a(6) = <6/1>*<6/2>*<6/3>*<6/4>*<6/5>*<6/6> = 7*4*3*1*2*2 = 336.

Crossrefs

Cf. A075999, 2*A076001.

Sequence in context: A192534 A053938 A102381 * A361296 A007849 A100621

Adjacent sequences: A075995 A075996 A075997 * A075999 A076000 A076001

Keyword

nonn

Author

Clark Kimberling, Sep 29 2002

Status

approved