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

1,1

References

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

Links

Table of n, a(n) for n=1..30.

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)

Crossrefs

A000045, A000032.

Sequence in context: A293405 A029880 A144413 * A062446 A053208 A355024

Adjacent sequences: A033808 A033809 A033810 * A033812 A033813 A033814

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved