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A015551
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Expansion of x/(1-6*x-5*x^2).
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6
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0, 1, 6, 41, 276, 1861, 12546, 84581, 570216, 3844201, 25916286, 174718721, 1177893756, 7940956141, 53535205626, 360916014461, 2433172114896, 16403612761681, 110587537144566, 745543286675801, 5026197405777636
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Let the generator matrix for the ternary Golay G_12 code be [I|B], where the elements of B are taken from the set {0,1,2}. Then a(n)=(B^n)_1,2 for instance. - Paul Barry (pbarry(AT)wit.ie), Feb 13 2004
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (6,5).
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FORMULA
| a(n) = 6 a(n-1) + 5 a(n-2).
a(n)=sqrt(14)(3+sqrt(14))^n/28-sqrt(14)(3-sqrt(14))^n/28 - Paul Barry (pbarry(AT)wit.ie), Feb 13 2004
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=6*b+5*a; a=b; b=c, {n, 100}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 16 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 6, -5) for n in xrange(0, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
(MAGMA) I:=[0, 1]; [n le 2 select I[n] else 6*Self(n-1)+5*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 14 2011
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CROSSREFS
| Cf. A001076, A006190, A007482, A015520, A015521, A015523, A015524, A015525, A015528, A015529, A015530, A015531, A015532, A015533, A015534, A015535, A015536, A015537, A015440, A015441, A015443, A015444, A015445, A015447, A015548, A030195, A053404, A057087, A057088, A057089, A083858, A085939, A090017, A091914, A099012, A135030, A135032, A180222, A180226, A180250.
Sequence in context: A197196 A198795 A194781 * A049685 A196954 A122371
Adjacent sequences: A015548 A015549 A015550 * A015552 A015553 A015554
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KEYWORD
| nonn,easy
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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