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A184017 n-1+ceiling((n/3)^2); complement of A184016. 1

%I #14 Jun 13 2015 00:53:42

%S 1,2,3,5,7,9,12,15,17,21,24,27,31,35,39,44,49,53,59,64,69,75,81,87,94,

%T 101,107,115,122,129,137,145,153,162,171,179,189,198,207,217,227,237,

%U 248,259,269,281,292,303,315,327,339,352,365,377,391,404,417,431,445,459,474,489,503,519,534,549,565,581,597,614,631,647,665,682,699,717,735,753,772,791

%N n-1+ceiling((n/3)^2); complement of A184016.

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

%F G.f.: x*(x^2+1)*(x^8-x^7+x^5-x^4-x^3+x^2-1)/((x-1)^3*(x^2+x+1)*(x^6+x^3+1)). [_Colin Barker_, Sep 23 2012]

%t a=9; b=0;

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

%t Table[n-1+Ceiling[(n*n-b)/a],{n,80}]

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jan 09 2011

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)