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 A301621 #19 Nov 27 2023 00:29:46 %S A301621 11,29,47,83,101,119,137,173,191,209,227,263,281,299,317,353,371,389, %T A301621 407,443,461,479,497,533,551,569,587,623,641,659,677,713,731,749,767, %U A301621 803,821,839,857,893,911,929,947,983,1001,1019,1037,1073,1091,1109 %N A301621 Numbers not divisible by 2, 3 or 5 (A007775) with digital root 2. %C A301621 Numbers congruent to 11, 29, 47, or 83 mod 90 with additive sum sequence 11 { + 18 + 18 + 36 + 18} {repeat ...}. Includes all prime numbers greater than 5 with digital root 2. %H A301621 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 1, -1). %F A301621 n == {11, 29, 47, 83} mod 90. %F A301621 From _Colin Barker_, Mar 26 2018: (Start) %F A301621 G.f.: x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)). %F A301621 a(n) = a(n-1) + a(n-4) - a(n-5) for n>5. %F A301621 (End) %e A301621 11+18=29; 29+18=47; 47+36=83; 83+18=101; 101+18=119. %t A301621 Flatten[Table[90n - {79, 61, 43, 7}, {n, 30}]] (* _Alonso del Arte_, Mar 29 2018 *) %o A301621 (PARI) Vec(x*(11 + 18*x + 18*x^2 + 36*x^3 + 7*x^4) / ((1 - x)^2*(1 + x)*(1 + x^2)) + O(x^60)) \\ _Colin Barker_, Mar 26 2018 %o A301621 (GAP) Filtered(Filtered([1..1200],n->n mod 2 <> 0 and n mod 3 <> 0 and n mod 5 <> 0),i->i-9*Int((i-1)/9)=2); # _Muniru A Asiru_, Apr 22 2018 %Y A301621 Intersection of A007775 and A017185. %K A301621 nonn,base,easy %O A301621 1,1 %A A301621 _Gary Croft_, Mar 24 2018