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%I #4 Jan 26 2017 15:07:56
%S 0,0,0,1,10,125,1890,33621,688506,15958405,413066170,11810819141,
%T 369730963602,12577271147805,461980538087250,18223376862518101,
%U 768327068469302218,34480595937671194805,1641060381277816308810,82562177153973368528901,4378026144983797903473954
%N a(n) = (n^n - 3*(n-1)^n + 3*(n-2)^n - (n-3)^n)/6.
%p a := n -> (n^n-3*(n-1)^n+3*(n-2)^n-(n-3)^n)/6:
%p seq(a(n), n=0..20);
%Y Cf. A000312, A045531, A281596.
%K nonn
%O 0,5
%A _Peter Luschny_, Jan 26 2017
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