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%I #4 Jul 16 2016 13:35:34
%S 1,52,1496,69026,4383626,350813126,33056715626,3464129078126,
%T 386652630390626,44687884101953126,5260857687009765626,
%U 625229219690048828126,74663901894300244140626,8937876284201001220703126,1071238363160070006103515626,128470217809820900030517578126
%N Number of set partitions of [5*n] such that within each block the numbers of elements from all residue classes modulo n are equal for n>0, a(0)=1.
%H Alois P. Heinz, <a href="/A275102/b275102.txt">Table of n, a(n) for n = 0..481</a>
%H J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL4/SIXDENIERS/bell.html">Extended Bell and Stirling Numbers From Hypergeometric Exponentiation</a>, J. Integer Seqs. Vol. 4 (2001), #01.1.4.
%F G.f.: -(685800000*x^7 -675420000*x^6 +136905500*x^5 -8043550*x^4 +17550*x^3 +9249*x^2 -194*x+1) / ((x-1) *(30*x-1) *(5*x-1) *(60*x-1) *(10*x-1) *(120*x-1) *(20*x-1)).
%Y Row n=5 of A275043.
%K nonn,easy
%O 0,2
%A _Alois P. Heinz_, Jul 16 2016
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