A075999 - OEIS

%I #4 Feb 15 2015 13:59:41

%S 1,2,6,8,30,72,112,384,1080,1800,6336,13824,26208,94080,345600,368640,

%T 1057536,5598720,6566400,24192000,74511360,93671424,457850880,

%U 955514880,2156544000,5887365120,16460236800,40967700480,101025792000

%N Product{[n/k + 1/2]: k=1,2,...,n}, where [x + 1/2] denotes the integer nearest to x.

%e a(6) = 6*3*2*2*1*1 = 72.

%t Table[Product[Floor[n/k+1/2],{k,n}],{n,30}] (* _Harvey P. Dale_, Feb 15 2015 *)

%Y Cf. A075998 (product of second-nearest integers), A010786 (product of [n/k], k=1, 2, ..., n).

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 29 2002