|
| |
|
|
A090727
|
|
a(n) = 16a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 16.
|
|
1
| |
|
|
2, 16, 254, 4048, 64514, 1028176, 16386302, 261152656, 4162056194, 66331746448, 1057145886974, 16848002445136, 268510893235202, 4279326289318096, 68200709735854334, 1086932029484351248, 17322711762013765634
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
Index entries for recurrences a(n) = k*a(n - 1) +/- a(n - 2)
|
|
|
FORMULA
| a(n) = (8+sqrt(63))^n + (8-sqrt(63))^n. (a(n))^2 =a(2n)+2.
G.f.: (2-16*x)/(1-16*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 02 2008]
a(n)=2*A001081(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 30 2008]
|
|
|
MATHEMATICA
| a[0] = 2; a[1] = 16; a[n_] := 16a[n - 1] - a[n - 2]; Table[ a[n], {n, 0, 15}] (from Robert G. Wilson v Jan 30 2004)
|
|
|
PROG
| sage: [lucas_number2(n, 16, 1) for n in xrange(0, 20)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 26 2008
|
|
|
CROSSREFS
| Cf. A080246.
Sequence in context: A009833 A009044 A019318 * A108242 A140307 A114039
Adjacent sequences: A090724 A090725 A090726 * A090728 A090729 A090730
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Nikolay V. Kosinov (kosinov(AT)unitron.com.ua), Jan 18 2004
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 30 2004
|
| |
|
|
