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A080962 5th binomial transform of the periodic sequence (1,6,1,1,6,1...). 4

%I

%S 1,11,86,596,3896,24656,153056,938816,5714816,34616576,209010176,

%T 1259303936,7576795136,45544656896,273603485696,1642963091456,

%U 9863147257856,59200358383616,355288049647616,2132071895269376

%N 5th binomial transform of the periodic sequence (1,6,1,1,6,1...).

%H Vincenzo Librandi, <a href="/A080962/b080962.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-24).

%F a(n) = 6*a(n-1)+5*4^(n-1).

%F a(n) = (7/2)*6^n-(5/2)*4^n.

%F G.f.: (1+x)/((1-4*x)*(1-6*x)). - _Vincenzo Librandi_, Aug 06 2013

%t CoefficientList[Series[(1 + x) / ((1 - 4 x) (1 - 6 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 06 2013 *)

%t LinearRecurrence[{10,-24},{1,11},20] (* _Harvey P. Dale_, Sep 06 2016 *)

%o (MAGMA) [(7/2)*6^n-(5/2)*4^n: n in [0..25]]; // _Vincenzo Librandi_, Aug 06 2013

%Y Cf. A080960, A080961, A081033.

%K nonn,easy

%O 0,2

%A _Paul Barry_, Mar 03 2003

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Last modified October 18 00:21 EDT 2019. Contains 328135 sequences. (Running on oeis4.)