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A049637 Congruent to 2, 3, 6, 8, 10 or 12 mod 13, but not equal to 3. 1

%I #18 Apr 21 2019 10:51:48

%S 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 55,58,60,62,64,67,68,71,73,75,77,80,81,84,86,88,90,93,94,97,99,101,

%U 103,106,107,110,112,114,116,119,120,123,125,127,129,132,133,136,138,140,142,145,146

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

%C a(n) = T(n, 3), array T as in A049627.

%H G. C. Greubel, <a href="/A049637/b049637.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,-1).

%F 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 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 LinearRecurrence[{0,1,1,0,-1},{2,6,8,10,12,15},70] (* _Harvey P. Dale_, Apr 21 2019 *)

%o (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 nonn,easy

%O 0,1

%A _Clark Kimberling_

%E Terms a(38) onward added by _G. C. Greubel_, Dec 15 2017

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Last modified March 28 04:58 EDT 2024. Contains 371235 sequences. (Running on oeis4.)