OFFSET
1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
FORMULA
Conjecture: G.f.: x*(-1-3*x^5+x^4+2*x^3-4*x^2-2*x)/((x^2+x-1)* (x^4+x^2-1)^2). - Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009
MATHEMATICA
Table[Sum[j*LucasL[n+1-j], {j, 1, Floor[(n+1)/2]}], {n, 1, 50}] (* G. C. Greubel, Jun 12 2019 *)
PROG
(PARI) lucas(n) = fibonacci(n-1)+fibonacci(n+1);
a(n) = sum(j=1, floor((n+1)/2), j*lucas(n+1-j)); \\ G. C. Greubel, Jun 12 2019
(Magma) [(&+[j*Lucas(n+1-j): j in [1..Floor((n+1)/2)]]): n in [1..50]]; // G. C. Greubel, Jun 12 2019
(Sage) [sum(j*lucas_number2(n+1-j, 1, -1) for j in (1..floor((n+1)/2))) for n in (1..50)] # G. C. Greubel, Jun 12 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Title simplified by Sean A. Irvine, Jun 12 2019
Terms a(30) onward added by G. C. Greubel, Jun 12 2019
STATUS
approved