A067984 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+6), n>=0.

18, 83, 206, 459, 940, 1844, 3504, 6513, 11902, 21465, 38302, 67752, 118974, 207631, 360430, 622791, 1071776, 1837852, 3141468, 5354445, 9102878, 15439413, 26131346, 44141904, 74433450, 125306699

Offset: 0

Author

Wolfdieter Lang, Feb 15 2002

Keywords

• nonn
• easy

Comments

Sixth diagonal of triangle A067979. Sixth column of triangle A067990.

Formula

a(n)= sum(L(k+1)*L(n+6-k), k=0..n) = (29*n+18)*F(n+1)+18*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (18+11*x)*(1+2*x)/(1-x-x^2)^2.