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Third to last entries in rows of array A090452 (scaled (3,2)-Stirling2).
1

%I #3 Oct 12 2012 14:40:19

%S 1,16,114,644,3270,15642,72072,323752,1428102,6214520,26761196,

%T 114287736,484816540,2045277990,8588492100,35923392720,149753379270,

%U 622458753840,2580709189740,10675646755800,44074384410420

%N Third to last entries in rows of array A090452 (scaled (3,2)-Stirling2).

%F a(n)= A090452(n, 2*(n-1)), n>=2.

%F a(n)= (9*n^2-19*n+8)*(n-1)*C(n)/(4*(2*n-1)), n>=2; with the Catalan numbers C(n)=A000108(n).

%Y Cf. A000108 (last row entries), 3*A002054(n-1) (second to last row entries).

%K nonn,easy

%O 2,2

%A _Wolfdieter Lang_, Jan 09 2004