login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = n*Product_{k=1..n} floor(k^((n-k)/(n-k+1))).
0

%I #11 Dec 31 2021 09:56:41

%S 1,2,3,4,20,48,112,864,2916,34560,152064,1728000,9360000,108864000,

%T 1049760000,10668672000,172802851200,2184944025600,32025036718080,

%U 438839318937600,6636767477760000,108637562880000000,1940004332259840000,24494663395141632000,673031429554176000000

%N a(n) = n*Product_{k=1..n} floor(k^((n-k)/(n-k+1))).

%t Table[n*Product[Floor[k^((n-k)/(n-k+1))],{k,n}],{n,30}] (* _Harvey P. Dale_, Sep 13 2020 *)

%o (PARI) a(n) = n*prod(k=2, n-1, floor(k^((n-k)/(n-k+1))));

%K nonn

%O 1,2

%A _Michel Marcus_, Apr 02 2020

%E Definition corrected by _Harvey P. Dale_, Sep 13 2020