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A097135
a(0) = 1; for n>0, a(n) = 3*Fibonacci(n).
5
1, 3, 3, 6, 9, 15, 24, 39, 63, 102, 165, 267, 432, 699, 1131, 1830, 2961, 4791, 7752, 12543, 20295, 32838, 53133, 85971, 139104, 225075, 364179, 589254, 953433, 1542687, 2496120, 4038807, 6534927, 10573734, 17108661, 27682395, 44791056, 72473451, 117264507
OFFSET
0,2
COMMENTS
Binomial transform is A097136.
FORMULA
G.f. : (1+2*x-x^2)/(1-x-x^2).
a(n) = a(n-1)+a(n-2) for n>2.
a(2n) = A097134(n); a(2n+1) = 3*F(2n+1).
MATHEMATICA
Join[{1}, Table[3*Fibonacci[n], {n, 70}]] (* Vladimir Joseph Stephan Orlovsky, Feb 10 2012 *)
PROG
(PARI) a(n)=if(n, 3*finonacci(n), 1) \\ Charles R Greathouse IV, Oct 16 2015
CROSSREFS
Essentially the same as A022086.
Sequence in context: A299473 A355906 A022086 * A293677 A293679 A274498
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Jul 26 2004
EXTENSIONS
Definition rewritten by N. J. A. Sloane, Jan 24 2010
STATUS
approved