A023553 Convolution of integers >= 3 and Lucas numbers.

3, 13, 29, 58, 106, 186, 317, 531, 879, 1444, 2360, 3844, 6247, 10137, 16433, 26622, 43110, 69790, 112961, 182815, 295843, 478728, 774644, 1253448, 2028171, 3281701, 5309957, 8591746

Offset

1,1

Links

Table of n, a(n) for n=1..28.

Formula

G.f.: (x*(3 + 4*x - 4*x^2))/((1 - x - x^2)*(1-x)^2). - Ralf Stephan, Apr 28 2004

a(n) = a(n-1) + a(n-2) + 3*n + 4. - Christian Krause, Dec 07 2023

Mathematica

Flatten[Table[ListConvolve[Range[3, n+2], LucasL[Range[n]]], {n, 30}]] (* Harvey P. Dale, Sep 25 2015 *)

Crossrefs

Cf. A000204 (Lucas numbers).

Sequence in context: A144391 A024836 A227541 * A268184 A183436 A154300

Adjacent sequences: A023550 A023551 A023552 * A023554 A023555 A023556

Keyword

nonn

Author

Clark Kimberling

Status

approved