A189745 a(n) = 5*a(n-1) + a(n-2); with a(1)=5, a(2)=1.

5, 1, 10, 51, 265, 1376, 7145, 37101, 192650, 1000351, 5194405, 26972376, 140056285, 727253801, 3776325290, 19608880251, 101820726545, 528712512976, 2745383291425, 14255628970101, 74023528141930, 384373269679751, 1995889876540685, 10363822652383176

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

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 A356775

Adjacent sequences: A189742 A189743 A189744 * A189746 A189747 A189748

Keyword

nonn,easy

Author

Harvey P. Dale, Apr 26 2011

Status

approved