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A206417 (5*F(n)+3*L(n)-8)/2. 2
0, 3, 7, 14, 25, 43, 72, 119, 195, 318, 517, 839, 1360, 2203, 3567, 5774, 9345, 15123, 24472, 39599, 64075, 103678, 167757, 271439, 439200, 710643, 1149847, 1860494, 3010345, 4870843, 7881192, 12752039, 20633235, 33385278, 54018517, 87403799, 141422320 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
Thomas Koshy, Fibonacci and Lucas Numbers and Applications. Wiley, New York, (2001)
LINKS
FORMULA
a(n) = 2*a(n-1)-a(n-3). G.f.: x^2*(x+3) / ((x-1)*(x^2+x-1)). - Colin Barker, Oct 28 2014
MATHEMATICA
Table[(5*Fibonacci[n] + 3*LucasL[n] - 8)/2, {n, 60}] (* or *) Table[LucasL[n+2] - 4, {n, 60}]
PROG
(PARI) a(n)=fibonacci(n)+3*fibonacci(n+1)-4 \\ Charles R Greathouse IV, Feb 08 2012
(PARI) concat(0, Vec(x^2*(x+3)/((x-1)*(x^2+x-1)) + O(x^100))) \\ Colin Barker, Oct 28 2014
CROSSREFS
Sequence in context: A051170 A265252 A193911 * A207381 A343017 A008646
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Name shortened, Joerg Arndt, Oct 28 2014
STATUS
approved

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Last modified March 19 06:50 EDT 2024. Contains 370953 sequences. (Running on oeis4.)