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.

A008601 Multiples of 19.

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%I A008601 #49 Apr 10 2025 14:08:49
%S A008601 0,19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,342,
%T A008601 361,380,399,418,437,456,475,494,513,532,551,570,589,608,627,646,665,
%U A008601 684,703,722,741,760,779,798,817,836,855,874,893,912,931,950,969,988
%N A008601 Multiples of 19.
%H A008601 Ivan Panchenko, <a href="/A008601/b008601.txt">Table of n, a(n) for n = 0..200</a>
%H A008601 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A008601 INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=331">Encyclopedia of Combinatorial Structures 331</a>.
%H A008601 Luis Manuel Rivera, <a href="http://arxiv.org/abs/1406.3081">Integer sequences and k-commuting permutations</a>, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.
%H A008601 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A008601 (floor(a(n)/10) + 2*(a(n) mod 10)) == 0 modulo 19, see A076312. - _Reinhard Zumkeller_, Oct 06 2002
%F A008601 From _Vincenzo Librandi_, Dec 24 2010: (Start)
%F A008601 a(n) = 19*n.
%F A008601 a(n) = 2*a(n-1) - a(n-2).
%F A008601 G.f.: 19*x/(x-1)^2. (End)
%F A008601 From _Elmo R. Oliveira_, Apr 10 2025: (Start)
%F A008601 E.g.f.: 19*x*exp(x).
%F A008601 a(n) = (A008600(n) + A008602(n))/2. (End)
%t A008601 Range[0, 1500, 19] (* _Vladimir Joseph Stephan Orlovsky_, Jun 01 2011 *)
%o A008601 (PARI) a(n)=19*n; \\ _Michel Marcus_, Dec 27 2014
%Y A008601 Cf. A008599, A008600, A008602.
%K A008601 nonn,easy
%O A008601 0,2
%A A008601 _N. J. A. Sloane_