A111547 - OEIS

%I #4 Mar 30 2012 18:36:50

%S 1,4,23,165,1383,13083,136863,1562715,19301319,256191363,3636036783,

%T 54956529675,881578601559,14964805041363,268105552191423,

%U 5057384615702235,100224731537223399,2082402995330965923

%N Column 3 of triangle A111544; also found in column 0 of triangle A111549, which equals the matrix logarithm of A111544.

%F a(n) = A111544(n+3, 3) = A111549(n+1, 0).

%o (PARI) {a(n)=if(n<0,0,(matrix(n+4,n+4,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,m,(i+2)!/2!*x^i)),m-j-1))))^-1)[n+4,4])}

%Y Cf. A111544, A111549.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 07 2005