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A189745 a(1)=5,  a(2)=1, a(n)=5*a(n-1) + a(n-2). 13
5, 1, 10, 51, 265, 1376, 7145, 37101, 192650, 1000351, 5194405, 26972376, 140056285, 727253801, 3776325290, 19608880251, 101820726545, 528712512976, 2745383291425, 14255628970101, 74023528141930, 384373269679751, 1995889876540685, 10363822652383176 (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, 1).

FORMULA

a(n) = 5/2*((5/2+1/2*sqrt(29))^(n-1)+(5/2-1/2 *sqrt(29))^(n-1))+23/58*sqrt(29)*((5/2-1/2*sqrt(29))^(n-1)-(5/2+1/2*sqrt(29))^(n-1)). - Paolo P. Lava, May 24 2011

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

MATHEMATICA

LinearRecurrence[{5, 1}, {5, 1}, 40]

PROG

(Maxima) a[1]:5$ a[2]:1$ a[n]:=5*a[n-1]+a[n-2]$ makelist(a[n], n, 1, 24);  [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, A189746, A189747, A189748, A189749.

Sequence in context: A013612 A112830 A209669 * A062967 A245211 A330774

Adjacent sequences:  A189742 A189743 A189744 * A189746 A189747 A189748

KEYWORD

nonn

AUTHOR

Harvey P. Dale, Apr 26 2011

STATUS

approved

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Last modified April 11 14:14 EDT 2021. Contains 342886 sequences. (Running on oeis4.)