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A022919 Multinomial coefficients(TOP, BOTTOM), where TOP = n^2, BOTTOM = ( 1 3 5 ... 2n-1 ).

%I A022919 #19 Jan 03 2025 05:12:35
%S A022919 1,1,4,504,5765760,11779303536000,7077067947620326656000,
%T A022919 1858415281524390197256677213184000,
%U A022919 296452547038365950028519606090501848174100480000,38078735219928394229608103398446248260205826730163060269056000000
%N A022919 Multinomial coefficients(TOP, BOTTOM), where TOP = n^2, BOTTOM = ( 1 3 5 ... 2n-1 ).
%H A022919 Alois P. Heinz, <a href="/A022919/b022919.txt">Table of n, a(n) for n = 0..25</a>
%p A022919 with(combinat):
%p A022919 a:= n-> multinomial(n^2, (2*i-1)$i=1..n, 0):
%p A022919 seq(a(n), n=0..10);  # _Alois P. Heinz_, Aug 05 2014
%t A022919 multinomial[n_, k_List] := n!/Times @@ (k!);
%t A022919 a[n_] := multinomial[n^2, Range[1, 2n-1, 2]];
%t A022919 Table[a[n], {n, 0, 10}] (* _Jean-François Alcover_, Jan 02 2025 *)
%Y A022919 Cf. A022915.
%K A022919 nonn
%O A022919 0,3
%A A022919 _Clark Kimberling_
%E A022919 More terms from _Vladimir Joseph Stephan Orlovsky_, Dec 26 2010