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.
%I A282284 #11 Sep 05 2020 19:35:10 %S A282284 1,4,35,40,143,112,323,220,575,364,899,544,1295,760,1763,1012,2303, %T A282284 1300,2915,1624,3599,1984,4355,2380,5183,2812,6083,3280,7055,3784, %U A282284 8099,4324,9215,4900,10403,5512,11663,6160,12995,6844,14399,7564,15875,8320,17423 %N A282284 Least common multiple of 3*n+1 and 3*n-1. %H A282284 Colin Barker, <a href="/A282284/b282284.txt">Table of n, a(n) for n = 0..1000</a> %H A282284 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,3,0,-3,0,1). %F A282284 a(n) = 9*n^2-1 for n>0 and even. %F A282284 a(n) = (9*n^2-1)/2 for n odd. %F A282284 a(n) = 3*a(n-2) - 3*a(n-4) + a(n-6) for n>6. %F A282284 G.f.: (1+4*x+32*x^2+28*x^3+41*x^4+4*x^5-2*x^6) / ((1-x)^3*(1+x)^3). %t A282284 Table[LCM@@{3n+1,3n-1},{n,0,50}] (* or *) LinearRecurrence[{0,3,0,-3,0,1},{1,4,35,40,143,112,323},60] (* _Harvey P. Dale_, Sep 05 2020 *) %o A282284 (PARI) vector(60, n, n--; lcm(3*n+1, 3*n-1)) %o A282284 (PARI) Vec((1+4*x+32*x^2+28*x^3+41*x^4+4*x^5-2*x^6) / ((1-x)^3*(1+x)^3) + O(x^60)) %Y A282284 Cf. A000466, A136017, A141759, A282285, A282286. %K A282284 nonn,easy %O A282284 0,2 %A A282284 _Colin Barker_, Feb 11 2017