A156922 Third right hand column (n-m=2) of the A156920 triangle.

1, 15, 129, 877, 5280, 29658, 159742, 838038, 4323003, 22057825, 111750519, 563535483, 2833221970, 14216330916, 71243079660, 356731958812, 1785306330981, 8931761831331, 44675371382365

Offset: 0

Author

Johannes W. Meijer, Feb 20 2009

Keywords

• easy
• nonn

Crossrefs

Other columns A000340, A156923, A156924.

Equals A156920 third right hand column.

Equals A156919 third right hand column divided by 4.

Equals A142963 third right hand column divided by 2^n.

Formula

a(n) = 14*a(n-1)-75*a(n-2)+196*a(n-3)-263*a(n-4)+174*a(n-5)-45*a(n-6)

a(n) = (4*n^2-108*n*3^n+24*n-378*3^n+375*5^n+35)/32

G.f.: GF1(z;RHCnr=3) = (1+z-6*z^2)/((1-5*z)*(1-3*z)^2*(1-z)^3)