A156923 Fourth right hand column (n-m=3) of the A156920 triangle.

1, 37, 646, 8030, 82610, 756218, 6411720, 51586344, 400011435, 3020658295, 22373863774, 163379472214, 1180488191108, 8462445970580, 60305767988960, 427848087263712, 3025286818472661

Offset: 0

Author

Johannes W. Meijer, Feb 20 2009

Keywords

• easy
• nonn

Crossrefs

Other columns A000340, A156922, A156924.

Equals A156920 fourth right hand column.

Equals A156919 fourth right hand column divided by 8.

Equals A142963 fourth right hand column divided by 2^n

Formula

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)

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

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)