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A189739 a(1)=3,  a(2)=5, a(n)=3a(n-1) + 5a(n-2) 14
3, 5, 30, 115, 495, 2060, 8655, 36265, 152070, 637535, 2672955, 11206540, 46984395, 196985885, 825879630, 3462568315, 14517103095, 60864150860, 255177968055, 1069854658465, 4485453815670, 18805634739335, 78844173296355, 330560693585740, 1385902947238995 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..100

Index entries for linear recurrences with constant coefficients, signature (3,5).

FORMULA

a(n) = 3/2*((3/2+1/2*sqrt(29))^(n-1)+(3/2-1/2*sqrt(29))^(n-1))+1/58*sqrt(29)*((3/2+1/2*sqrt(29))^(n-1)-(3/2-1 /2*sqrt(29))^(n-1)). - Paolo P. Lava, May 24 2011

G.f.: x*(3-4*x)/(1-3*x-5*x^2). - Bruno Berselli, May 24 2011

MATHEMATICA

LinearRecurrence[{3, 5}, {3, 5}, 40]

PROG

(Maxima) a[1]:3$ a[2]:5$ a[n]:=3*a[n-1]+5*a[n-2]$ makelist(a[n], n, 1, 25);  [Bruno Berselli, May 24 2011]

(PARI) Vec(x*(3-4*x)/(1-3*x-5*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jul 15 2011

CROSSREFS

Sequence in context: A181429 A162262 A151373 * A035410 A290487 A059940

Adjacent sequences:  A189736 A189737 A189738 * A189740 A189741 A189742

KEYWORD

nonn,easy

AUTHOR

Harvey P. Dale, Apr 26 2011

STATUS

approved

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Last modified April 14 22:47 EDT 2021. Contains 342971 sequences. (Running on oeis4.)