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a(n) = n+7.
0

%I #18 Oct 29 2022 16:47:18

%S 7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,

%T 31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,

%U 54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80

%N a(n) = n+7.

%C Pisot sequences E(7,8), P(7,8), T(7,8).

%D Shalosh B. Ekhad, N. J. A. Sloane and Doron Zeilberger, Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences, Preprint, 2016.

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

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

%F a(n) = n+7.

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

%t Range[0,80]+7 (* or *) LinearRecurrence[{2,-1},{7,8},80] (* _Harvey P. Dale_, Oct 29 2022 *)

%o (PARI) a(n)=n+7

%Y See A008776 for definitions of Pisot sequences.

%K nonn,easy

%O 0,1

%A _David W. Wilson_