|
|
A015534
|
|
Expansion of x/(1 - 4*x - 11*x^2).
|
|
10
|
|
|
0, 1, 4, 27, 152, 905, 5292, 31123, 182704, 1073169, 6302420, 37014539, 217384776, 1276699033, 7498028668, 44035804035, 258621531488, 1518879970337, 8920356727716, 52389106584571, 307680350343160
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,11).
|
|
FORMULA
|
a(n) = 4*a(n-1) + 11*a(n-2).
a(n) = (1/30)*(2 + sqrt(15))^n*sqrt(15) - (1/30)*sqrt(15)*(2 - sqrt(15))^n, with n >= 0. - Paolo P. Lava, Aug 06 2008
|
|
MATHEMATICA
|
Join[{a=0, b=1}, Table[c=4*b+11*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Mar 29 2011 *)
LinearRecurrence[{4, 11}, {0, 1}, 30] (* Vincenzo Librandi, Jun 19 2012 *)
|
|
PROG
|
(Sage) [lucas_number1(n, 4, -11) for n in range(0, 20)] # Zerinvary Lajos, Apr 23 2009
(MAGMA) I:=[0, 1]; [n le 2 select I[n] else 4*Self(n-1)+11*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Jun 19 2012
(PARI) x='x+O('x^30); concat([0], Vec(x/(1-4*x-11*x^2))) \\ G. C. Greubel, Jan 01 2018
|
|
CROSSREFS
|
Sequence in context: A240194 A278358 A274751 * A306054 A218274 A061693
Adjacent sequences: A015531 A015532 A015533 * A015535 A015536 A015537
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Olivier Gérard
|
|
STATUS
|
approved
|
|
|
|