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Expansion of 1/((1-5*x)*(1-x^5)).
2

%I #21 Jan 21 2023 19:37:28

%S 1,5,25,125,625,3126,15630,78150,390750,1953750,9768751,48843755,

%T 244218775,1221093875,6105469375,30527346876,152636734380,

%U 763183671900,3815918359500,19079591797500,95397958987501,476989794937505

%N Expansion of 1/((1-5*x)*(1-x^5)).

%H Vincenzo Librandi, <a href="/A083590/b083590.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (5,0,0,0,1,-5).

%F a(n) = floor(625*(5^(n+1)+1)/3124). - _Tani Akinari_, Jul 09 2013

%t CoefficientList[Series[1/((1-5x)(1-x^5)),{x,0,40}],x] (* _Vincenzo Librandi_, Apr 04 2012 *)

%t LinearRecurrence[{5,0,0,0,1,-5},{1,5,25,125,625,3126},30] (* _Harvey P. Dale_, Jan 21 2023 *)

%o (PARI) Vec(1/(1-5*x)/(1-x^5)+O(x^99)) \\ _Charles R Greathouse IV_, Apr 04 2012

%o (Magma) [Floor(625*(5^(n+1)+1)/3124): n in [0..40]]; // _G. C. Greubel_, Oct 10 2017

%Y Cf. A083589, A033139, A000975.

%K easy,nonn

%O 0,2

%A _Paul Barry_, May 02 2003