|
| |
|
|
A015576
|
|
Expansion of x/(1-8x-7x^2).
|
|
1
| |
|
|
0, 1, 8, 71, 624, 5489, 48280, 424663, 3735264, 32854753, 288984872, 2541862247, 22357792080, 196655372369, 1729747523512, 15214567794679, 133824775022016, 1177100174738881, 10353574823065160, 91068299807693447
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (8,7).
|
|
|
FORMULA
| a(n) = 8 a(n-1) + 7 a(n-2).
a(n)=(1/46)*[4+sqrt(23)]^n*sqrt(23)-(1/46)*[4-sqrt(23)]^n*sqrt(23), with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 25 2008
|
|
|
MATHEMATICA
| Join[{a=0, b=1}, Table[c=8*b+7*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 17 2011*)
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 8, -7) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 25 2009]
|
|
|
CROSSREFS
| Sequence in context: A193102 A038145 A198856 * A070998 A187709 A152265
Adjacent sequences: A015573 A015574 A015575 * A015577 A015578 A015579
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
|
| |
|
|
