%I
%S 1,4,70,280,2919,11676,94944,379776,2669361,10677444,68321994,
%T 273287976,1640345707,6561382828,37643205652,150572822608,
%U 836008721925,3344034887700,18122573826942,72490295307768,385781480224959,1543125920899836,8099850233307144
%N Number of set partitions of [n] into exactly nine 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="/A274873/b274873.txt">Table of n, a(n) for n = 9..1000</a>
%F G.f.: x^9/((x1)*(3*x1)*(2*x+1)*(2*x1)*(3*x+1)*(4*x1)*(x+1)* (12*x^21)*(6*x^21)*(20*x^21)*(2*x^21)).
%e a(9) = 1: 123456789.
%e a(10) = 4: 12(10)3456789, 1234(10)56789, 123456(10)789, 12345678(10)9.
%Y Column k=9 of A274537.
%K nonn,easy
%O 9,2
%A _Alois P. Heinz_, Jul 09 2016
