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 A046023 #30 Feb 29 2024 17:47:36 %S A046023 0,1,12,87,416,1475,4236,10437,22912,45981,85900,151371,254112,409487, %T A046023 637196,962025,1414656,2032537,2860812,3953311,5373600,7196091, %U A046023 9507212,12406637,16008576,20443125,25857676,32418387,40311712 %N A046023 Number of ways to color edges of a tetrahedron using <= n colors. %H A046023 Vincenzo Librandi, <a href="/A046023/b046023.txt">Table of n, a(n) for n = 0..10000</a> %H A046023 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A046023 a(n) = (n^6+3*n^4+8*n^2)/12. %F A046023 G.f.: x*(1+x)*(1+4*x+20*x^2+4*x^3+x^4)/(1-x)^7. - _Colin Barker_, Jan 30 2012 %F A046023 E.g.f.: exp(x)*x*(12 + 60*x + 108*x^2 + 68*x^3 + 15*x^4 + x^5)/12. - _Stefano Spezia_, Feb 29 2024 %p A046023 A046023 := n->(n^6+3*n^4+8*n^2)/12; %t A046023 LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,1,12,87,416,1475,4236},30] (* _Vincenzo Librandi_, Jan 31 2012 *) %o A046023 (PARI) a(n)=(n^6+3*n^4+8*n^2)/12 \\ _Charles R Greathouse IV_, Jan 31 2012 %Y A046023 Cf. A006008. %Y A046023 Row 3 of A327083. %K A046023 nonn,easy %O A046023 0,3 %A A046023 _N. J. A. Sloane_, Apr 11 2001