cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A100775 a(n) = 97*n + 101.

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%I A100775 #27 Dec 08 2024 12:27:35
%S A100775 101,198,295,392,489,586,683,780,877,974,1071,1168,1265,1362,1459,
%T A100775 1556,1653,1750,1847,1944,2041,2138,2235,2332,2429,2526,2623,2720,
%U A100775 2817,2914,3011,3108,3205,3302,3399,3496,3593,3690,3787,3884,3981,4078,4175,4272,4369,4466
%N A100775 a(n) = 97*n + 101.
%C A100775 Note that 97 is the largest two-digit prime and 101 is the smallest three-digit prime.
%H A100775 Vincenzo Librandi, <a href="/A100775/b100775.txt">Table of n, a(n) for n = 0..10000</a>
%H A100775 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A100775 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A100775 From _Harvey P. Dale_, Nov 26 2013: (Start)
%F A100775 a(n) = 2*a(n-1) - a(n-2); a(0)=101, a(1)=198.
%F A100775 G.f.: (101 - 4*x)/(x-1)^2. (End)
%F A100775 E.g.f.: exp(x)*(101 + 97*x). - _Elmo R. Oliveira_, Dec 08 2024
%e A100775 If n=1, then 97*1 + 101 = 198.
%t A100775 97*Range[0,50]+101 (* or *) LinearRecurrence[{2,-1},{101,198},50] (* _Harvey P. Dale_, Nov 26 2013 *)
%o A100775 (Magma) [97*n + 101: n in [0..50]]; // _Vincenzo Librandi_, Jul 14 2011
%o A100775 (PARI) a(n)=97*n+101 \\ _Charles R Greathouse IV_, Oct 16 2015
%Y A100775 Cf. A017029, A100776, A101084, A101442.
%K A100775 nonn,easy
%O A100775 0,1
%A A100775 _Parthasarathy Nambi_, Jan 03 2005
%E A100775 More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005
%E A100775 Edited by _Ray Chandler_, Jan 25 2005