A189746 a(1)=5, a(2)=2, a(n) = 5*a(n-1) + 2*a(n-2)

5, 2, 20, 104, 560, 3008, 16160, 86816, 466400, 2505632, 13460960, 72316064, 388502240, 2087143328, 11212721120, 60237892256, 323614903520, 1738550302112, 9339981317600, 50177007192224, 269564998596320, 1448179007366048, 7780025034022880, 41796483184846496

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,2).

Formula

G.f.: x*(5-23*x)/(1-5*x-2*x^2). - Bruno Berselli, May 24 2011

Mathematica

LinearRecurrence[{5, 2}, {5, 2}, 40]

Prog

(Maxima) a[1]:5$ a[2]:2$ a[n]:=5*a[n-1]+2*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, A189745, A189747, A189748, A189749.

Sequence in context: A327316 A276533 A303685 * A191667 A130329 A096035

Adjacent sequences: A189743 A189744 A189745 * A189747 A189748 A189749

Keyword

nonn,easy

Author

Harvey P. Dale, Apr 26 2011

Status

approved