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Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1<=k<=n; sequence gives f(n,3)/n.
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%I #6 Mar 28 2019 11:24:38

%S 1,12,160,2450,43050,858480,19208000,477237600,13049190000,

%T 389642022000,12620614406400,440871877446000,16525943429595600,

%U 661779275661504000,28199857953915648000,1274233240573028736000,60863881753459328544000

%N Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1<=k<=n; sequence gives f(n,3)/n.

%Y Cf. A019576.

%K nonn

%O 3,2

%A Lee Corbin (lcorbin(AT)tsoft.com)

%E More terms from _Sean A. Irvine_, Mar 27 2019