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A008603 Multiples of 21. 11

%I #53 Oct 25 2018 10:05:37

%S 0,21,42,63,84,105,126,147,168,189,210,231,252,273,294,315,336,357,

%T 378,399,420,441,462,483,504,525,546,567,588,609,630,651,672,693,714,

%U 735,756,777,798,819,840,861,882,903,924,945,966,987

%N Multiples of 21.

%C Sum of the numbers from 3*(n-1) to 3*(n+1). - _Bruno Berselli_, Oct 25 2018

%H Vincenzo Librandi, <a href="/A008603/b008603.txt">Table of n, a(n) for n = 0..1000</a>

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

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=333">Encyclopedia of Combinatorial Structures 333</a>

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

%F G.f.: 21*x/(x-1)^2. - _Vincenzo Librandi_, Jun 10 2013

%t Range[0, 1500, 21] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)

%t CoefficientList[Series[21 x / (x - 1)^2, {x, 0, 60}], x] (* _Vincenzo Librandi_, Jun 10 2013 *)

%o (PARI) a(n)=21*n \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Cf. A008601, A008602.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)