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 A178717 #11 Oct 01 2021 17:11:01 %S A178717 3,5,9,17,37,81,197,477,1197,3077,7989,20649,53885,140601,366917, %T A178717 959685,2511477,6571681,17202449,45027677,117871345,308581637, %U A178717 807852685,2114904397,5536838045,14495554593,37949503089,99352690141,260108204933 %N A178717 Degree of denominator of GF for number of ways to place k nonattacking queens on an n X n board. %H A178717 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013 %F A178717 Explicit formula (Vaclav Kotesovec, May 31 2010), for k>1 : d(k) = 2*k+1+Sum[Sum[2*j*EulerPhi[i],{i,Fibonacci[k-j]+1,Fibonacci[k-j+1]}],{j,1,k-1}]. %F A178717 Asymptotic formula: d(k) ~ 6/(5*Pi^2)*((1+Sqrt[5])/2)^(2*k+1) or d(k) ~ 3*(1+Sqrt[5])/Pi^2*Fibonacci[k]^2. %t A178717 Table[2*k + 1 + Sum[Sum[2*j*EulerPhi[i], {i, Fibonacci[k - j] + 1, Fibonacci[k - j + 1]}], {j, 1, k - 1}], {k, 1, 20}] %Y A178717 Cf. A036464, A047659, A061994, A108792, A176186, A000010, A000045. %K A178717 nonn %O A178717 1,1 %A A178717 _Vaclav Kotesovec_, Jun 07 2010