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%I #9 Jun 01 2023 17:00:32
%S 1,0,1,1,4,8,27,81,256,1024,3125,15625,46656,279936,823543,5764801,
%T 16777216,134217728,387420489,3486784401,10000000000,100000000000,
%U 285311670611,3138428376721,8916100448256,106993205379072,302875106592253,3937376385699289
%N a(n) = floor(n/2)^ceiling(n/2).
%C Central coefficients T(n,floor(n/2)) of number triangle A004248. The central coefficients T(2n,n) of this triangle are n^n or A000312.
%C a(n) is the number of partitions of [n] such that each block has exactly one even element: a(5) = 8: 1235|4, 123|45, 125|34, 12|345, 1345|2, 134|25, 145|23, 14|235. - _Alois P. Heinz_, Jun 01 2023
%H Alois P. Heinz, <a href="/A110132/b110132.txt">Table of n, a(n) for n = 0..772</a>
%Y Cf. A000312, A004248, A110138.
%K easy,nonn
%O 0,5
%A _Paul Barry_, Jul 13 2005
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