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.

A049637 Congruent to 2, 3, 6, 8, 10 or 12 mod 13, but not equal to 3.

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%I A049637 #18 Apr 21 2019 10:51:48
%S A049637 2,6,8,10,12,15,16,19,21,23,25,28,29,32,34,36,38,41,42,45,47,49,51,54,
%T A049637 55,58,60,62,64,67,68,71,73,75,77,80,81,84,86,88,90,93,94,97,99,101,
%U A049637 103,106,107,110,112,114,116,119,120,123,125,127,129,132,133,136,138,140,142,145,146
%N A049637 Congruent to 2, 3, 6, 8, 10 or 12 mod 13, but not equal to 3.
%C A049637 a(n) = T(n, 3), array T as in A049627.
%H A049637 G. C. Greubel, <a href="/A049637/b049637.txt">Table of n, a(n) for n = 0..1000</a>
%H A049637 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,-1).
%F A049637 G.f.: 2 - x*(-6-8*x-4*x^2+2*x^3+3*x^4) / ( (1+x)*(1+x+x^2)*(x-1)^2 ). - _R. J. Mathar_, Oct 26 2015
%t A049637 CoefficientList[Series[2 - x*(-6 - 8*x - 4*x^2 + 2*x^3 + 3*x^4)/((1 + x)*(1 + x + x^2)*(x - 1)^2), {x, 0, 50}], x] (* _G. C. Greubel_, Dec 15 2017 *)
%t A049637 LinearRecurrence[{0,1,1,0,-1},{2,6,8,10,12,15},70] (* _Harvey P. Dale_, Apr 21 2019 *)
%o A049637 (PARI) x='x+O('x^30); Vec(2 - x*(-6 - 8*x - 4*x^2 + 2*x^3 + 3*x^4)/((1 + x)*(1 + x + x^2)*(x - 1)^2)) \\ _G. C. Greubel_, Dec 15 2017
%K A049637 nonn,easy
%O A049637 0,1
%A A049637 _Clark Kimberling_
%E A049637 Terms a(38) onward added by _G. C. Greubel_, Dec 15 2017