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 A367806 #23 Jan 10 2024 04:56:37 %S A367806 0,1,3,4,6,2,9,10,12,5,15,16,18,7,21,22,24,8,27,28,30,11,33,34,36,13, %T A367806 39,40,42,14,45,46,48,17,51,52,54,19,57,58,60,20,63,64,66,23,69,70,72, %U A367806 25,75,76,78,26,81,82,84,29,87,88,90,31,93,94,96,32,99 %N A367806 Inverse permutation of A160080. %C A367806 Permutation of nonnegative numbers. %H A367806 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,-1). %F A367806 a(2*n) = 3*n = A008585(n). %F A367806 a(4*n+3) = 6*n+4 = A016957(n). %F A367806 a(4*n+1) = A047268(n+1). %F A367806 a(n) = a(n-4) + a(n-12) - a(n-16). %F A367806 G.f.: (x + 3*x^2 + 4*x^3 + 6*x^4 + x^5 + 6*x^6 + 6*x^7 + 6*x^8 + 3*x^9 + 6*x^10 + 6*x^11 + 6*x^12 + x^13 + 3*x^14 + 2*x^15) / ((1 - x^4)*(1 - x^12)). %e A367806 As an array of four columns read by rows, the columns are A008588, A047268, A016945, A016957: %e A367806 0, 1, 3, 4; %e A367806 6, 2, 9, 10; %e A367806 12, 5, 15, 16; %e A367806 18, 7, 21, 22; %e A367806 24, 8, 27, 28; %e A367806 30, 11, 33, 34; %e A367806 ... %t A367806 CoefficientList[Series[(x + 3*x^2 + 4*x^3 + 6*x^4 + x^5 + 6*x^6 + 6*x^7 + 6*x^8 + 3*x^9 + 6*x^10 + 6*x^11 + 6*x^12 + x^13 + 3*x^14 + 2*x^15) / ((1-x)^2*(1+x)*(1+x^2)*(1+x+x^2)*(1+x^3)*(1+x^6)),{x,0,66}],x] (* _Stefano Spezia_, Dec 27 2023 *) %Y A367806 Cf. A008585, A008588, A016945, A016957, A047268, A160080. %K A367806 nonn,easy,tabf %O A367806 0,3 %A A367806 _Philippe Deléham_, Dec 01 2023