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 A047480 #21 Jan 31 2023 16:36:04 %S A047480 2,5,7,10,13,15,18,21,23,26,29,31,34,37,39,42,45,47,50,53,55,58,61,63, %T A047480 66,69,71,74,77,79,82,85,87,90,93,95,98,101,103,106,109,111,114,117, %U A047480 119,122,125,127,130,133,135,138,141,143,146,149,151,154,157,159 %N A047480 Numbers that are congruent to {2, 5, 7} mod 8. %H A047480 Vincenzo Librandi, <a href="/A047480/b047480.txt">Table of n, a(n) for n = 1..3000</a> %H A047480 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1). %F A047480 G.f.: x*(1+x)*(x^2+x+2) / ((1+x+x^2)*(x-1)^2). - _R. J. Mathar_, Oct 08 2011 %F A047480 From _Wesley Ivan Hurt_, Jun 10 2016: (Start) %F A047480 a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. %F A047480 a(n) = (24*n-6-3*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9. %F A047480 a(3k) = 8k-1, a(3k-1) = 8k-3, a(3k-2) = 8k-6. (End) %F A047480 a(n) = A047408(n) + 1. - _Lorenzo Sauras Altuzarra_, Jan 31 2023 %p A047480 A047480:=n->(24*n-6-3*cos(2*n*Pi/3)-sqrt(3)*sin(2*n*Pi/3))/9: seq(A047480(n), n=1..100); # _Wesley Ivan Hurt_, Jun 10 2016 %t A047480 Select[Range[0, 150], MemberQ[{2, 5, 7}, Mod[#, 8]] &] (* _Wesley Ivan Hurt_, Jun 10 2016 *) %t A047480 Flatten[Table[8 n + {2, 5, 7}, {n, 0, 150}]] (* _Vincenzo Librandi_, Jun 12 2016 *) %t A047480 LinearRecurrence[{1,0,1,-1},{2,5,7,10},100] (* _Harvey P. Dale_, Jun 18 2018 *) %o A047480 (Magma) [n : n in [0..150] | n mod 8 in [2, 5, 7]]; // _Wesley Ivan Hurt_, Jun 10 2016 %Y A047480 Different from A038127. %Y A047480 Cf. A047408. %K A047480 nonn,easy %O A047480 1,1 %A A047480 _N. J. A. Sloane_