A193464 - OEIS

%I #8 Mar 30 2012 18:59:51

%S 0,2,7,30,146,852,5823,45740,405844,4012710,43733975,520795002,

%T 6726601062,93651619880,1398047697151,22275111534552,377278848390248,

%U 6768744159489930,128228860181918439,2557808459478878870,53585748788874537850,1176328664895760953852

%N Row sums of triangle A076731.

%F a(n) = sum(A076731(n,k), k=1..n).

%F a(n) = sum((1/(n-k)!)*A061312(n-1,k-1), k=1..n).

%F a(n) = sum((1/(n-k)!)*sum(((-1)^j)*binomial(k,j)*(n-j)!, j=0..k), k=1..n).

%p A193464 := proc(n): add(A076731(n,k), k=1..n) end: A076731:=proc(n,k): (1/(n-k)!)*A061312(n-1,k-1) end: A061312:=proc(n,k): add(((-1)^j)*binomial(k+1,j)*(n+1-j)!, j=0..k+1) end: seq(A193464(n), n=1..22);

%K nonn,easy

%O 1,2

%A _Johannes W. Meijer_, Jul 27 2011