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A063758 a(0)=1, a(n) = 2*Fibonacci(n+4) - 6. 1
1, 4, 10, 20, 36, 62, 104, 172, 282, 460, 748, 1214, 1968, 3188, 5162, 8356, 13524, 21886, 35416, 57308, 92730, 150044, 242780, 392830, 635616, 1028452, 1664074, 2692532, 4356612, 7049150, 11405768, 18454924, 29860698, 48315628, 78176332, 126491966 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 158.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,500

FORMULA

G.f.: (1+2*x+2*x^2+x^3)/((1-x-x^2)*(1-x)).

MAPLE

seq(`if`(n=0, 1, 2*combinat[fibonacci](n+4)-6), n=0..35); # Nathaniel Johnston, Jun 28 2011

MATHEMATICA

Table[If[n == 0, 1, 2*Fibonacci[n + 4] - 6], {n, 0, 100}] (* From Vladimir Joseph Stephan Orlovsky, Jun 28 2011 *)

PROG

(PARI) { for (n=0, 500, if (n, a=2*fibonacci(n+4) - 6, a=1); write("b063758.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 29 2009]

CROSSREFS

Sequence in context: A140226 A008059 A145132 * A131924 A143982 A000749

Adjacent sequences:  A063755 A063756 A063757 * A063759 A063760 A063761

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Aug 14 2001

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Last modified February 15 05:26 EST 2012. Contains 205694 sequences.