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A171891 1 and all numbers >= 10. 1

%I #25 May 08 2017 17:39:57

%S 1,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,

%T 32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,

%U 55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77

%N 1 and all numbers >= 10.

%C Used to illustrate Besicovitch's density theorem.

%D H. Halberstam and K. F. Roth, Sequences, Oxford, 1966; see p. 6.

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

%F G.f.: x*(1+8*x-8*x^2)/(1-x)^2. - _Bruno Berselli_, Sep 02 2011

%t Table[n + 8 - 8 Boole[n == 1], {n, 69}] (* or *)

%t Rest@ CoefficientList[Series[x (1 + 8 x - 8 x^2)/(1 - x)^2, {x, 0, 69}], x] (* _Michael De Vlieger_, May 03 2017 *)

%o (PARI) if(n==1,1,n+9) \\ _Charles R Greathouse IV_, Sep 02 2011

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_, Oct 19 2010

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)