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A017245 a(n) = 9*n + 7. 13

%I

%S 7,16,25,34,43,52,61,70,79,88,97,106,115,124,133,142,151,160,169,178,

%T 187,196,205,214,223,232,241,250,259,268,277,286,295,304,313,322,331,

%U 340,349,358,367,376,385,394,403,412,421,430,439,448,457,466,475,484

%N a(n) = 9*n + 7.

%C Numbers whose digital root is 7. - _Halfdan Skjerning_, Mar 15 2018

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

%H J. Laroche & N. J. A. Sloane, <a href="/A004207/a004207.pdf">Correspondence, 1977</a>

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

%F a(n)^2 = A156676(n+1) + A017137(n). - _Reinhard Zumkeller_, Jul 13 2010

%F a(n) = 18*n - a(n-1) + 5, with a(0)=7. - _Vincenzo Librandi_, Dec 24 2010

%F G.f.: (7+2*x)/(1-x)^2. - _Vincenzo Librandi_, Apr 30 2015

%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2. - _Vincenzo Librandi_, Apr 30 2015

%t Range[7, 1000, 9] (* _Vladimir Joseph Stephan Orlovsky_, May 28 2011 *)

%t Table[9 n + 7, {n, 0, 70}] (* or *) CoefficientList[Series[(7 + 2 x)/(1 - x)^2, {x, 0, 60}], x] (* _Vincenzo Librandi_, Apr 30 2015 *)

%o (MAGMA) [9*n+7: n in [0..60]]; // _Vincenzo Librandi_, Apr 30 2015

%o (PARI) vector(100,n,9*n-2) \\ _Derek Orr_, Apr 30 2015

%Y Cf. A008591, A017233.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified February 22 18:05 EST 2019. Contains 320400 sequences. (Running on oeis4.)