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Binomial(n-k,k) * binomial(n-k-1,k+1) where k = ceiling(n/4).
3

%I #3 Aug 02 2014 06:11:56

%S 0,0,0,3,0,6,40,150,100,525,1960,5880,7056,26460,83160,228690,365904,

%T 1189188,3435432,9018009,17177160,51531480,141581440,361032672,

%U 773641440,2204878104,5859116640,14647791600,34178180400,93989996100,243891989880,601019546490

%N Binomial(n-k,k) * binomial(n-k-1,k+1) where k = ceiling(n/4).

%Y Cf. A171001, A171003, A171006.

%K nonn

%O 1,4

%A _John P. Linderman_, Sep 01 2010