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A184109 n + ceiling(n^2/9); complement of A184108. 2

%I #14 Jun 25 2021 17:46:16

%S 2,3,4,6,8,10,13,16,18,22,25,28,32,36,40,45,50,54,60,65,70,76,82,88,

%T 95,102,108,116,123,130,138,146,154,163,172,180,190,199,208,218,228,

%U 238,249,260,270,282,293,304,316,328,340,353,366,378,392,405,418,432,446,460,475,490,504,520,535,550,566,582,598,615,632,648,666,683,700,718,736,754,773,792,810,830,849,868,888,908,928,949,970,990

%N n + ceiling(n^2/9); complement of A184108.

%H Matthew House, <a href="/A184109/b184109.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,0,0,0,0,0,1,-2,1).

%F G.f.: (2*x-x^2+x^4+x^7-x^9)/(1-2*x+x^2-x^9+2*x^10-x^11). - _Matthew House_, Feb 15 2017

%F a(n) = +2 a(n-1) -a(n-2) +a(n-9) -2 a(n-10) +a(n-11). - R. J. Mathar, Mar 11 2012

%t a=9; b=-9;

%t Table[n+Floor[(a*n+b)^(1/2)],{n,100}]

%t Table[n-1+Ceiling[(n^2-b)/a],{n,90}]

%t Table[n+Ceiling[n^2/9],{n,100}] (* or *) LinearRecurrence[{2,-1,0,0,0,0,0,0,1,-2,1},{2,3,4,6,8,10,13,16,18,22,25},100] (* _Harvey P. Dale_, Jun 25 2021 *)

%o (PARI) a(n)=a(n)=(n^2+9*n+8)\9 \\ _Charles R Greathouse IV_, Feb 15 2017

%Y Complement of A184108.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Jan 09 2011

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)