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%I #19 Sep 08 2022 08:44:57
%S 1,2,13,53,169,473,1225,3017,7177,16649,37897,85001,188425,413705,
%T 901129,1949705,4194313,8978441,19136521,40632329,85983241,181403657,
%U 381681673,801112073,1677721609,3506438153,7314866185,15233712137,31675383817,65766686729
%N a(n) = 2^(n-1)*(9*n-16)+9.
%H Vincenzo Librandi, <a href="/A048502/b048502.txt">Table of n, a(n) for n = 0..2000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-8,4).
%F a(n) = T(8, n), array T given by A048494.
%F a(n) = 2^(n-1)*(9n-16)+9 = A000079(n-1)*A017185(n-2)+9. - _Wesley Ivan Hurt_, Dec 04 2013
%F G.f.: (1-3*x+11*x^2) / ((1-x)*(1-2*x)^2). - _Colin Barker_, Aug 24 2016
%p A048502:=n->2^(n-1)*(9*n-16)+9; seq(A048502(n), n=0..30); # _Wesley Ivan Hurt_, Dec 04 2013
%t Table[2^(n-1)*(9n-16)+9, {n,0,30}] (* _Wesley Ivan Hurt_, Dec 04 2013 *)
%o (Magma) [2^(n-1)*(9*n-16)+9 : n in [0..30]]; // _Vincenzo Librandi_, Sep 25 2011
%o (PARI) Vec((1-3*x+11*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ _Colin Barker_, Aug 24 2016
%Y Cf. A048494.
%K nonn,easy
%O 0,2
%A _Clark Kimberling_
%E Formula and more terms from _Ralf Stephan_, Jan 15 2004
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