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Expansion of (1-x)/(1-12*x).
2

%I #18 Jan 27 2021 10:13:17

%S 1,11,132,1584,19008,228096,2737152,32845824,394149888,4729798656,

%T 56757583872,681091006464,8173092077568,98077104930816,

%U 1176925259169792,14123103110037504,169477237320450048

%N Expansion of (1-x)/(1-12*x).

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (12).

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

%F a(n+1) = 12*a(n) for n > 0. - _M. F. Hasler_, Oct 05 2011

%t Join[{1},NestList[12#&,11,20]] (* _Harvey P. Dale_, Sep 19 2018 *)

%o (PARI) a(n)=if(n,11*12^n--,1) \\ _Charles R Greathouse IV_, Oct 05 2011

%o (PARI) a(n)=(11+!n)*12^(n-1) \\ _M. F. Hasler_, Oct 05 2011

%Y Cf. A025192, A002001, A005054, A052934, A055272, A055274, A055276, A055276.

%K nonn,easy

%O 0,2

%A _Philippe Deléham_, Oct 05 2011