A067985 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+7), n>=0.

29, 134, 333, 742, 1520, 2982, 5667, 10534, 19251, 34720, 61956, 109596, 192457, 335878, 583065, 1007498, 1733848, 2973186, 5082159, 8662310, 14726559, 24977924, 42275628, 71413752, 120420725

Offset

0,1

Comments

Seventh diagonal of triangle A067979. Seventh column of triangle A067990.

Links

Table of n, a(n) for n=0..24.

Formula

a(n)= sum(L(k+1)*L(n+7-k), k=0..n) = (47*n+29)*F(n+1)+29*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (29+18*x)*(1+2*x)/(1-x-x^2)^2.

Crossrefs

Sequence in context: A044742 A142494 A260260 * A118873 A247874 A162834

Adjacent sequences: A067982 A067983 A067984 * A067986 A067987 A067988

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 15 2002

Status

approved