%I #8 Mar 30 2012 18:55:29
%S 1,0,1,0,3,1,0,22,18,1,0,300,385,60,1,0,6576,11250,2975,150,1,0,
%T 211680,444976,165375,14875,315,1,0,9408960,23164848,10992856,1440600,
%U 56350,588,1,0,552303360,1543644432,883573488,151957281,8890560,175812,1008,1,0,41391544320,128509156800,85483976320,18121263300,1420415577,42865200,475020,1620,1
%N Triangle a(n,k) read by rows: product s(n,k)*s(n+1,k+1) of Stirling numbers of the first kind.
%H Vincenzo Librandi, <a href="/A187558/b187558.txt">Table of n, a(n) for n = 0..495</a>
%F a(n,k) = A048994(n,k)*A048994(n+1,k+1) = A132393(n,k)*A132393(n+1,k+1).
%e Triangle begins:
%e 1
%e 0,1
%e 0,3,1
%e 0,22,18,1
%e 0,300,385,60,1
%e 0,6576,11250,2975,150,1
%e 0,211680,444976,165375,14875,315,1
%e 0,9408960,23164848,10992856,1440600,56350,588,1
%e 0,552303360,1543644432,883573488,151957281,8890560,175812,1008,1
%p seq(seq(combinat[stirling1](n,k)*combinat[stirling1](n+1,k+1),k=0..n),n=0..8);
%t Table[StirlingS1[n, k]StirlingS1[n + 1, k + 1], {n, 0, 8}, {k, 0, 8}]//MatrixForm
%o (Maxima) create_list(stirling1(n,k)*stirling1(n+1,k+1),n,0,10,k,0,n);
%K nonn,easy,tabl
%O 0,5
%A _Emanuele Munarini_, Mar 11 2011