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A167191
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4*n*(1+45*n+620*n^2).
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2
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2664, 20568, 68592, 161616, 314520, 542184, 859488, 1281312, 1822536, 2498040, 3322704, 4311408, 5479032, 6840456, 8410560, 10204224, 12236328, 14521752, 17075376, 19912080, 23046744, 26494248, 30269472, 34387296, 38862600
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OFFSET
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1,1
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COMMENTS
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See A167190, where this sequence arises as the integer part of the quotient.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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G.f. 24*x*(111+413*x+96*x^2) / (x-1)^4 . - R. J. Mathar, Jan 27 2012
a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). - Vincenzo Librandi, Jul 02 2012
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MATHEMATICA
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CoefficientList[Series[24*(111+413*x+96*x^2)/(x-1)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 02 2012 *)
LinearRecurrence[{4, -6, 4, -1}, {2664, 20568, 68592, 161616}, 40] (* Harvey P. Dale, Jun 15 2014 *)
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PROG
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(MAGMA) I:=[2664, 20568, 68592, 161616]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jul 02 2012
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CROSSREFS
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Cf. A167190.
Sequence in context: A235514 A197108 A224685 * A002482 A187293 A187195
Adjacent sequences: A167188 A167189 A167190 * A167192 A167193 A167194
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KEYWORD
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nonn,easy
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AUTHOR
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A.K. Devaraj, Oct 30 2009
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EXTENSIONS
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Extended beyond a(6) by R. J. Mathar, Nov 17 2009
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STATUS
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approved
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