A172178 - OEIS

%I #26 Apr 26 2022 03:56:21

%S 1,100,199,298,397,496,595,694,793,892,991,1090,1189,1288,1387,1486,

%T 1585,1684,1783,1882,1981,2080,2179,2278,2377,2476,2575,2674,2773,

%U 2872,2971,3070,3169,3268,3367,3466,3565,3664,3763,3862,3961,4060,4159,4258

%N a(n) = 99*n + 1.

%H G. C. Greubel, <a href="/A172178/b172178.txt">Table of n, a(n) for n = 0..1000</a>

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

%F a(n) = a(n-1) + 99 with a(1) = 1.

%F a(0) = 1, a(1) = 100, a(n) = 2*a(n-1) - a(n-2). - _Harvey P. Dale_, Apr 09 2012

%F From _G. C. Greubel_, Apr 26 2022: (Start)

%F G.f.: (1 + 98*x)/(1-x)^2.

%F E.g.f.: (1 + 99*x)*exp(x). (End)

%t 99*Range[0, 50] + 1 (* or *) LinearRecurrence[{2, -1}, {1, 100}, 50] (* _Harvey P. Dale_, Apr 09 2012 *)

%o (Magma) [99*n+1: n in [0..50]]; // _G. C. Greubel_, Apr 26 2022

%o (SageMath) [99*n+1 for n in (0..50)] # _G. C. Greubel_, Apr 26 2022

%Y Cf. A017173.

%K nonn,easy

%O 0,2

%A _Mark Dols_, Jan 28 2010

%E Offset corrected by _Harvey P. Dale_, Apr 09 2012