A067986 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0.

47, 217, 539, 1201, 2460, 4826, 9171, 17047, 31153, 56185, 100258, 177348, 311431, 543509, 943495, 1630289, 2805624, 4811038, 8223627, 14016755, 23829437, 40417337, 68406974, 115555656, 194854175

Offset: 0

Author

Wolfdieter Lang, Feb 15 2002

Keywords

• nonn
• easy

Comments

Eighth diagonal of triangle A067979. Eighth column of triangle A067990.

Formula

a(n)= sum(L(k+1)*L(n+8-k), k=0..n) = (76*n+47)*F(n+1)+47*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (47+29*x)*(1+2*x)/(1-x-x^2)^2.