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A110347 a(n) = meantorial(n) = the product of the set of n closest numbers with an arithmetic mean of n. 1
1, 3, 24, 180, 2520, 30240, 604800, 9979200, 259459200, 5448643200, 174356582400, 4446092851200, 168951528345600, 5068545850368000, 223016017416192000, 7694052600858624000, 384702630042931200000, 15003402571674316800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) ==0 (mod n), except for n=2.

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(2n+1) = (n+1)(n+2)...(2n+1)(2n+2) ...(3n+1)(3n+2). a(2n) = n(n+1)(n+2)...(2n-2)(2n-1)(2n+1)(2n+2)...(3n-1)(3n).

EXAMPLE

a(3) = 2*3*4 = 24, a(6)= 3*4*5*7*8*9 = 30240.

CROSSREFS

Cf. A110348.

Sequence in context: A317527 A181967 A144087 * A213100 A027324 A122741

Adjacent sequences:  A110344 A110345 A110346 * A110348 A110349 A110350

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy, Jul 21 2005

EXTENSIONS

More terms from Joshua Zucker, May 08 2006

STATUS

approved

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Last modified February 23 12:35 EST 2019. Contains 320431 sequences. (Running on oeis4.)