%I #10 Dec 07 2019 12:18:24
%S 1,0,1,3,21,185,2101,29127,478297,9090909,196495641,4762874171,
%T 128011456717,3779594158353,121637191772461,4238682002231055,
%U 159023502861656433,6391554268241802725,274019342889240109297
%N a(n) = (n+1)^(n-1)/(n+2) + (-1)^n/(n+2).
%o (Sage) [abs(gaussian_binomial(n,1,-(n+2))) for n in range(-1,18)] # _Zerinvary Lajos_, May 31 2009
%Y Cf. A083062, A081216, A081209.
%K easy,nonn
%O 0,4
%A _Paul Barry_, Apr 20 2003