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A097135 a(0) = 1; for n>0, a(n) = 3*Fibonacci(n). 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform is A097136.

LINKS

Table of n, a(n) for n=0..38.

Index to sequences with linear recurrences with constant coefficients, signature (1,1).

FORMULA

G.f. : (1+2x-x^2)/(1-x-x^2); a(n)=a(n-1)+a(n-2), n>2; a(2n)=A097134; a(2n+1)=3F(2n+1).

MATHEMATICA

Join[{1}, Table[3*Fibonacci[n], {n, 70}]] (* Vladimir Joseph Stephan Orlovsky, Feb 10 2012 *)

CROSSREFS

Cf. A000045.

Essentially the same as A022086.

Sequence in context: A035528 A050337 A022086 * A167786 A167787 A185957

Adjacent sequences:  A097132 A097133 A097134 * A097136 A097137 A097138

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 26 2004

EXTENSIONS

Definition rewritten by N, J. A. Sloane, Jan 24 2010

STATUS

approved

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Last modified November 22 10:27 EST 2014. Contains 249805 sequences.