Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #5 Jul 10 2016 14:47:22
%S 1,5,95,475,5294,26470,227294,1136470,8351711,41758555,277114769,
%T 1385573845,8568214932,42841074660,251848578952,1259242894760,
%U 7132223195725,35661115978625,196428153720067,982140768600335,5296485323226634,26482426616133170
%N Number of set partitions of [n] into exactly ten blocks such that all odd elements are in blocks with an odd index and all even elements are in blocks with an even index.
%H Alois P. Heinz, <a href="/A274874/b274874.txt">Table of n, a(n) for n = 10..1000</a>
%F G.f.: -x^10/((x-1)*(4*x+1)*(3*x-1)*(5*x-1)*(2*x+1)*(2*x-1)*(3*x+1)*(4*x-1)*(x+1)*(12*x^2-1)*(6*x^2-1)*(20*x^2-1)*(2*x^2-1)).
%e a(10) = 1: 1|2|3|4|5|6|7|8|9|(10).
%e a(11) = 5: 1(11)|2|3|4|5|6|7|8|9|(10), 1|2|3(11)|4|5|6|7|8|9|(10), 1|2|3|4|5(11)|6|7|8|9|(10), 1|2|3|4|5|6|7(11)|8|9|(10), 1|2|3|4|5|6|7|8|9(11)|(10).
%Y Column k=10 of A274537.
%K nonn,easy
%O 10,2
%A _Alois P. Heinz_, Jul 09 2016