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A015534
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Expansion of x/(1-4x-11x^2).
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9
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,11).
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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 [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 06 2008]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=4*b+11*a; a=b; b=c, {n, 40}]] (*From Vladimir Joseph Stephan Orlovsky, Mar 29 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 4, -11) for n in xrange(0, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
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CROSSREFS
| Sequence in context: A171469 A190584 A034512 * A061693 A005974 A010910
Adjacent sequences: A015531 A015532 A015533 * A015535 A015536 A015537
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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