A067987 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+9), n>=0.

76, 351, 872, 1943, 3980, 7808, 14838, 27581, 50404, 90905, 162214, 286944, 503888, 879387, 1526560, 2637787, 4539472, 7784224, 13305786, 22679065, 38555996, 65395261, 110682602, 186969408, 315274900

Offset

0,1

Comments

Ninth diagonal of triangle A067979. Ninth column of triangle A067990.

Links

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

Formula

a(n)= sum(L(k+1)*L(n+9-k), k=0..n) = (123*n+76)*F(n+1)+76*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (76+47*x)*(1+2*x)/(1-x-x^2)^2.

Crossrefs

Sequence in context: A005571 A233877 A377165 * A167586 A234184 A234177

Adjacent sequences: A067984 A067985 A067986 * A067988 A067989 A067990

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 15 2002

Status

approved