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A189742 a(1)=4,  a(2)=3, a(n)=4*a(n-1) + 3*a(n-2) 13
4, 3, 24, 105, 492, 2283, 10608, 49281, 228948, 1063635, 4941384, 22956441, 106649916, 495468987, 2301825696, 10693709745, 49680316068, 230802393507, 1072250522232, 4981409269449, 23142388644492, 107513782386315, 499482295478736, 2320470529073889 (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 (4, 3).

FORMULA

a(n) = 5/14*sqrt(7)*((2-sqrt(7))^(n-1)-(2+sqrt(7))^(n-1))+2*((2-sqrt(7))^(n-1)+(2 +sqrt(7))^(n-1)). - Paolo P. Lava, May 24 2011

G.f.: x*(4-13*x)/(1-4*x-3*x^2). - Bruno Berselli, May 24 2011

MATHEMATICA

LinearRecurrence[{4, 3}, {4, 3}, 40]

PROG

(Maxima) a[1]:4$ a[2]:3$ a[n]:=4*a[n-1]+3*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, A189743, A189744, A189745, A189746, A189747, A189748, A189749.

Sequence in context: A288360 A224515 A286328 * A243237 A072044 A286795

Adjacent sequences:  A189739 A189740 A189741 * A189743 A189744 A189745

KEYWORD

nonn

AUTHOR

Harvey P. Dale, Apr 26 2011

STATUS

approved

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Last modified April 10 18:04 EDT 2021. Contains 342852 sequences. (Running on oeis4.)