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a(n) = (n*(n+1)^(n-1) + 0^n)/(n+1).
3

%I #14 Jan 13 2022 01:31:47

%S 1,2,12,100,1080,14406,229376,4251528,90000000,2143588810,56757583872,

%T 1654301902188,52644347205632,1816448730468750,67553994410557440,

%U 2694045224950414864,114692890480116793344,5191945444217181018258

%N a(n) = (n*(n+1)^(n-1) + 0^n)/(n+1).

%H Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Enumerative Formulas for Some Functions on Finite Sets</a>

%F Main subdiagonal of A085388.

%F a(n) = A055865(n), n>1. - _R. J. Mathar_, Sep 12 2008

%F a(n) = [x^n] x*(1 - x)/(1 - x - n*x). - _Ilya Gutkovskiy_, Oct 02 2017

%Y Cf. A053506, A085390.

%K easy,nonn

%O 1,2

%A _Paul Barry_, Jun 30 2003