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%I #28 Dec 01 2024 13:41:26
%S 0,23,92,207,368,575,828,1127,1472,1863,2300,2783,3312,3887,4508,5175,
%T 5888,6647,7452,8303,9200,10143,11132,12167,13248,14375,15548,16767,
%U 18032,19343,20700,22103,23552,25047,26588,28175,29808,31487,33212,34983,36800,38663
%N a(n) = 23*n^2.
%C First bisection of A195058. - _Bruno Berselli_, Jul 03 2014
%H Vincenzo Librandi, <a href="/A244632/b244632.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F G.f.: 23*x*(1 + x)/(1 - x)^3. [corrected by _Bruno Berselli_, Jul 03 2014]
%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.
%F a(n) = 23*A000290(n). - _Omar E. Pol_, Jul 03 2014
%F From _Elmo R. Oliveira_, Dec 01 2024: (Start)
%F E.g.f.: 23*x*(1 + x)*exp(x).
%F a(n) = n*A008605(n) = A195058(2*n). (End)
%t Table[23 n^2, {n, 0, 40}]
%t LinearRecurrence[{3,-3,1},{0,23,92},50] (* _Harvey P. Dale_, Jul 14 2024 *)
%o (Magma) [23*n^2: n in [0..40]];
%o (PARI) a(n)=23*n^2 \\ _Charles R Greathouse IV_, Jun 17 2017
%Y Cf. A000290, A008605, A195058.
%Y Cf. similar sequences listed in A244630.
%K nonn,easy
%O 0,2
%A _Vincenzo Librandi_, Jul 03 2014