|
| |
|
|
A015535
|
|
Expansion of x/(1-5x-2x^2).
|
|
12
| |
|
|
0, 1, 5, 27, 145, 779, 4185, 22483, 120785, 648891, 3486025, 18727907, 100611585, 540513739, 2903791865, 15599986803, 83807517745, 450237562331, 2418802847145, 12994489360387, 69810052496225, 375039241201899
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,2).
|
|
|
FORMULA
| a(n) = 5 a(n-1) + 2 a(n-2).
a(n)=(1/33)*sqrt(33)*{[(5/2)+(1/2)*sqrt(33)]^n-[(5/2)-(1/2)*sqrt(33)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 13 2009]
|
|
|
MATHEMATICA
| Join[{a=0, b=1}, Table[c=5*b+2*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 16 2011*)
|
|
|
PROG
| (Other) sage: [lucas_number1(n, 5, -2) for n in xrange(0, 22)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
|
|
|
CROSSREFS
| Sequence in context: A084177 A037675 A052225 * A026292 A100193 A158869
Adjacent sequences: A015532 A015533 A015534 * A015536 A015537 A015538
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
|
| |
|
|
