%I #22 Dec 08 2024 14:16:16

%S 2,29,56,83,110,137,164,191,218,245,272,299,326,353,380,407,434,461,

%T 488,515,542,569,596,623,650,677,704,731,758,785,812,839,866,893,920,

%U 947,974,1001,1028,1055,1082,1109,1136,1163,1190,1217,1244,1271,1298,1325,1352,1379,1406,1433

%N a(n) = 27*n + 2.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F From _Elmo R. Oliveira_, Dec 08 2024: (Start)

%F G.f.: (2 + 25*x)/(1 - x)^2.

%F E.g.f.: (2 + 27*x)*exp(x).

%F a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)

%p A281546:=n->27*n+2: seq(A281546(n), n=0..100); # _Wesley Ivan Hurt_, Feb 01 2017

%t 27 Range[0, 53] + 2 (* _Michael De Vlieger_, Jan 24 2017 *)

%t LinearRecurrence[{2,-1},{2,29},60] (* _Harvey P. Dale_, Jul 04 2022 *)

%o (Magma) [27*n+2: n in [0..50]];

%o (PARI) a(n)=27*n+2 \\ _Charles R Greathouse IV_, Feb 06 2017

%Y Column 3 of A281334.

%Y Supersequence of A141949.

%K nonn,easy

%O 0,1

%A _Juri-Stepan Gerasimov_, Jan 23 2017