A033811 Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2.

3, 10, 24, 49, 92, 164, 283, 478, 796, 1313, 2152, 3512, 5715, 9282, 15056, 24401, 39524, 63996, 103595, 167670, 271348, 439105, 710544, 1149744, 1860387, 3010234, 4870728, 7881073, 12751916, 20633108

Offset: 1

Author

Wolfdieter Lang

Keywords

• easy
• nonn

References

• W. Lang in: "Applications of Fibonacci Numbers", Vol. 7, p. 235, eds.: G. E. Bergum et al., Kluwer, Dordrecht, 1998

Crossrefs

A000045, A000032.

Formula

a(n)=L(5)*(F(n+1)-1)+L(4)*F(n)-L(3)*n, F(n): Fibonacci (A000045). G.F. x*(3+x)/((1-x-x^2)*(1-x)^2)