%I #7 Jun 28 2017 20:39:44
%S 1,1,5,15,93,551,4129,33607,312929,3179343,35602881,432201743,
%T 5678740945,80142780751,1210609725905,19481112885231,332836223507793,
%U 6016678424942063,114746996449871761,2302527084416470255
%N Alternating row sums of triangle A134134.
%C Difference of numbers sum(product(j!^e(n,m,k,j),j=1..n),k=1..p(n,m)) related to odd and even part m partitions of n. Here e(n,m,k,j) is the exponent of j in the k-th m part partition of n and p(n,m)=A008284(n,m) is the number of partitions of n with m parts.
%F a(n)=sum(A134134(n,m)*(-1)^(m-1),m=1..n),n>=1.
%Y Cf. A077365 (row sums of A134134).
%K nonn,easy
%O 1,3
%A _Wolfdieter Lang_ Oct 12 2007
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