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A015534
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Expansion of x/(1 - 4*x - 11*x^2).
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10
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0, 1, 4, 27, 152, 905, 5292, 31123, 182704, 1073169, 6302420, 37014539, 217384776, 1276699033, 7498028668, 44035804035, 258621531488, 1518879970337, 8920356727716, 52389106584571, 307680350343160
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,11).
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FORMULA
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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
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MATHEMATICA
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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 *)
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PROG
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(Sage) [lucas_number1(n, 4, -11) for n in xrange(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
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CROSSREFS
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Sequence in context: A240194 A278358 A274751 * A306054 A218274 A061693
Adjacent sequences: A015531 A015532 A015533 * A015535 A015536 A015537
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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