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Expansion of (1-9*x)/(1-28*x).
1

%I #29 Jan 23 2025 17:43:06

%S 1,19,532,14896,417088,11678464,326996992,9155915776,256365641728,

%T 7178237968384,200990663114752,5627738567213056,157576679881965568,

%U 4412147036695035904,123540117027461005312,3459123276768908148736,96855451749529428164608,2711952648986823988609024

%N Expansion of (1-9*x)/(1-28*x).

%H Vincenzo Librandi, <a href="/A196512/b196512.txt">Table of n, a(n) for n = 0..500</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (28).

%F a(n) = 19*28^(n-1) for n > 0, a(0)=1.

%F a(n) = Sum_{k=0..n} A193722(n,k)*9^k.

%t Join[{1},19*28^Range[0,20]] (* _Harvey P. Dale_, Dec 06 2015 *)

%o (PARI) a(n)=if(n,19*28^(n-1),1) \\ _M. F. Hasler_, Oct 06 2011

%o (Magma) [1] cat [19*28^(n-1) : n in [1..15]]; // _Vincenzo Librandi_, Oct 06 2011

%Y Cf. A002001, A196660-A196666, A196676.

%K nonn,easy,changed

%O 0,2

%A _Philippe Deléham_, Oct 05 2011