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Fourth right hand column (n-m=3) of the A156920 triangle
9

%I #2 Mar 30 2012 18:59:44

%S 1,37,646,8030,82610,756218,6411720,51586344,400011435,3020658295,

%T 22373863774,163379472214,1180488191108,8462445970580,60305767988960,

%U 427848087263712,3025286818472661

%N Fourth right hand column (n-m=3) of the A156920 triangle

%F a(n) = 30*a(n-1)-385*a(n-2)+2776*a(n-3)-12418*a(n-4)+35908*a(n-5)-67818*a(n-6)+82552*a(n-7)-62109*a(n-8)+26190*a(n-9)-4725*a(n-10)

%F a(n) = (-8*n^3+972*n^2*3^n-84*n^2+7776*n*3^n-11250*n*5^n-286*n+15309*3^n-50625*5^n+36015*7^n-315)/384

%F G.f.: GF1(z;RHCnr=4) = (1+7*z-79*z^2+119*z^3+126*z^4-270*z^5)/((1-7*z)*(1-5*z)^2*(1-3*z)^3*(1-z)^4)

%Y Other columns A000340, A156922, A156924.

%Y Equals A156920 fourth right hand column.

%Y Equals A156919 fourth right hand column divided by 8.

%Y Equals A142963 fourth right hand column divided by 2^n

%K easy,nonn

%O 0,2

%A _Johannes W. Meijer_, Feb 20 2009