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A137788
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6^n - 5^n - 4^n - 3^n - 2^n.
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0
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-8, -18, -8, 318, 3352, 26142, 183112, 1216638, 7842232, 49591902, 309595432, 1915328958, 11771279512, 71987413662, 438579282952, 2664183937278, 16146410851192, 97676152243422, 590010212989672, 3559688008961598, 21455704973213272, 129219894479953182, 777738831202779592
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (20,-155,580,-1044,720).
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FORMULA
| G.f.: 2*x*(4-71*x+444*x^2-1164*x^3+1080*x^4)/((6*x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)). a(n)= 20*a(n-1)-155*a(n-2)+580*a(n-3)-1044*a(n-4)+720*a(n-5) . [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2009]
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EXAMPLE
| - 8*x - 18*x^2 - 8*x^3 + 318*x^4 + 3352*x^5 + 26142*x^6 + 183112*x^7 + ...
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MAPLE
| a:=proc (n) options operator, arrow: 6^n-5^n-4^n-3^n-2^n end proc: seq(a(n), n =1..20); - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 25 2008
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MATHEMATICA
| Array[6^#-5^#-4^#-3^#-2^# &, 10]
LinearRecurrence[{20, -155, 580, -1044, 720}, {-8, -18, -8, 318, 3352}, 30] (* From Harvey P. Dale, Jan 23 2012 *)
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PROG
| {a(n) = 6^n - 5^n - 4^n - 3^n - 2^n} /* Michael Somos, Jan 06 2012 */
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CROSSREFS
| Sequence in context: A107779 A018874 A163900 * A133202 A196207 A196474
Adjacent sequences: A137785 A137786 A137787 * A137789 A137790 A137791
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KEYWORD
| sign,easy
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 28 2008
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EXTENSIONS
| More terms from Alexander Povolotsky and Emeric Deutsch (deutsch(AT)duke.poly.edu), May 01 2008
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