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A017558 a(n) = (12*n + 3)^2. 1

%I #18 Aug 31 2018 02:53:30

%S 9,225,729,1521,2601,3969,5625,7569,9801,12321,15129,18225,21609,

%T 25281,29241,33489,38025,42849,47961,53361,59049,65025,71289,77841,

%U 84681,91809,99225,106929,114921,123201

%N a(n) = (12*n + 3)^2.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F G.f.: 9*(1 + 22*x + 9*x^2)/(1-x)^3.

%F a(n) = 9*A016814(n).

%F a(n) = a(n-1) + 288*n - 72, n >= 1. - _Vincenzo Librandi_, Mar 20 2011

%t (12*Range[0,30]+3)^2 (* or *) LinearRecurrence[{3,-3,1},{9,225,729},30] (* _Harvey P. Dale_, Aug 04 2015 *)

%o (PARI) a(n)=(12*n+3)^2 \\ _Charles R Greathouse IV_, Jun 17 2017

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)