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a(n) = n!/LCM{1, C(n-1,1), C(n-2,2), ..., C(n-[ n/2 ],[ n/2 ])}.
2

%I #14 Jan 28 2024 04:50:13

%S 1,1,2,3,8,10,24,84,192,432,2880,15840,34560,224640,483840,3628800,

%T 116121600,493516800,1045094400,9928396800,20901888000,219469824000,

%U 9656672256000,111051730944000,231760134144000,2897001676800000,30128817438720000,406739035422720000

%N a(n) = n!/LCM{1, C(n-1,1), C(n-2,2), ..., C(n-[ n/2 ],[ n/2 ])}.

%H Robert Israel, <a href="/A025562/b025562.txt">Table of n, a(n) for n = 0..533</a>

%p f:=n->n!/ilcm(seq(binomial(n-i,i),i=0..floor(n/2))):

%p seq(f(n), n=0..35);

%Y Cf. A025560.

%K nonn

%O 0,3

%A _Clark Kimberling_

%E Entry revised by _N. J. A. Sloane_, May 26 2005

%E a(0)=1 prepended by _Alois P. Heinz_, Nov 27 2023