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

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

%S 0,0,0,1,6,1,12,60,200,150,700,2450,7056,8820,31752,97020,261360,

%T 426888,1359072,3864861,10020010,19324305,57257200,155739584,

%U 393853824,851005584,2405321568,6347376360,15774544800,37026362100,101219995800,261312846300

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

%Y Another lower bound for A094837. Cf. A171001, A171002, A171003.

%K nonn

%O 0,5

%A _John P. Linderman_, Sep 02 2010