|
| |
|
|
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
|
| |
|
|
