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A189747 a(1)=5,  a(2)=3, a(n)=5*a(n-1) + 3*a(n-2) 12
5, 3, 30, 159, 885, 4902, 27165, 150531, 834150, 4622343, 25614165, 141937854, 786531765, 4358472387, 24151957230, 133835203311, 741631888245, 4109665051158, 22773220920525, 126195099756099, 699295161542070, 3875061106978647, 21473191019519445 (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 (5, 3).

FORMULA

a(n) = 5/2*8(5/2-1/2*sqrt(37))^(n-1)+(5/2+1/2*sqrt(37))^(n-1))+19/74*sqrt(37)*((5/2-1/2 *sqrt(37))^(n-1)-(5/2+1/2*sqrt(37))^(n-1)). - Paolo P. Lava, May 24 2011

G.f.: x*(5-22*x)/(1-5*x-3*x^2). - Bruno Berselli, May 24 2011

MATHEMATICA

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

PROG

(Maxima) a[1]:5$ a[2]:3$ a[n]:=5*a[n-1]+3*a[n-2]$ makelist(a[n], n, 1, 23);  [Bruno Berselli, May 24 2011]

CROSSREFS

Cf. A000045, A000079, A105476, A159612, A080040, A135522, A103435, A189732, A189734, A189735, A189736, A189737, A189738, A189739, A189741, A189742, A189743, A189744, A189745, A189746, A189748, A189749.

Sequence in context: A288898 A290293 A324499 * A279066 A179210 A291843

Adjacent sequences:  A189744 A189745 A189746 * A189748 A189749 A189750

KEYWORD

nonn

AUTHOR

Harvey P. Dale, Apr 26 2011

STATUS

approved

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Last modified April 11 15:49 EDT 2021. Contains 342886 sequences. (Running on oeis4.)