%I A120732
%S A120732 1,1,3,15,107,991,11267,151721,2360375,41650861,821881709,17932031225,
%T A120732 428630422697,11138928977049,312680873171465,9428701154866535,
%U A120732 303957777464447449,10431949496859168189,379755239311735494421
%N A120732 Number of square matrices with nonnegative integer entries and without 
               zero rows or columns such that sum of all entries is equal to n.
%F A120732 a(n) = (1/n!)*Sum_{k=0..n} (-1)^(n-k)*Stirling1(n,k)*A048144(k). G.f.: 
               Sum_{n>=0} Sum_{j=0..n} (-1)^(n-j)*binomial(n,j)*((1-x)^(-j)-1)^n.
%Y A120732 Cf. A104602.
%Y A120732 Sequence in context: A120016 A074519 A105618 this_sequence A090351 A136221 
               A153305
%Y A120732 Adjacent sequences: A120729 A120730 A120731 this_sequence A120733 A120734 
               A120735
%K A120732 nonn
%O A120732 0,3
%A A120732 Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 18 2006