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 A174019 #14 Jun 29 2023 09:38:53 %S A174019 1,2,3,8,15,24,32,52,63,94,114,156,184,244,276,358,406,504,555,692, %T A174019 752,910,991,1174,1267,1498,1593,1858,1983,2280,2414,2772,2915,3308, %U A174019 3488,3924,4114,4622,4816,5374,5616,6216,6467,7154,7418,8158,8469,9264,9587 %N A174019 Number of symmetry classes of reduced 3 X 3 magilatin squares with largest entry n. %C A174019 A magilatin square has equal row and column sums and no number repeated in any row or column. It is reduced if the least value in it is 0. The symmetries are row and column permutations and diagonal flip. %C A174019 a(n) is given by a quasipolynomial of degree 5 and period 60. %D A174019 Matthias Beck and Thomas Zaslavsky, An enumerative geometry for magic and magilatin labellings, Annals of Combinatorics, 10 (2006), no. 4, pages 395-413. MR 2007m:05010. Zbl 1116.05071. %H A174019 Thomas Zaslavsky, <a href="/A174019/b174019.txt">Table of n, a(n) for n = 2..10000</a>. %H A174019 Matthias Beck and Thomas Zaslavsky, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL13/Zaslavsky/sls.html">Six Little Squares and How Their Numbers Grow </a>, J. Int. Seq. 13 (2010), 10.6.2. %H A174019 Matthias Beck and Thomas Zaslavsky, <a href="https://people.math.binghamton.edu/zaslav/Tpapers/SLSfiles/">"Six Little Squares and How their Numbers Grow" Web Site</a>: Maple worksheets and supporting documentation. %H A174019 <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (-2, -1, 2, 5, 5, 2, -3, -7, -7, -3, 2, 5, 5, 2, -1, -2, -1). %F A174019 G.f.: x^2/(x-1)^2 - x^3/(x-1)^3 - 2x^3/[(x-1)*(x^2-1)] - x^3/(x^3-1) - 2x^4/[(x-1)^2*(x^2-1)] - x^4/[(x-1)*(x^3-1)] - 2x^4/(x^2-1)^2 + x^5/[(x-1)^3*(x^2-1)] + x^5/[(x-1)^2*(x^3-1)] + 2x^5/[(x-1)*(x^2-1)^2] + x^5/[(x-1)*(x^4-1)] + x^5/[(x^2-1)*(x^3-1)] + x^5/(x^5-1) + 2x^6/[(x-1)*(x^2-1)*(x^3-1)] + 2x^6/[(x^2-1)*(x^4-1)] + x^6/(x^2-1)^3 + x^6/(x^3-1)^2 + x^7/[(x^3-1)*(x^4-1)] + x^7/[(x^2-1)*(x^5-1)] + x^7/[(x^2-1)^2*(x^3-1)] + x^8/[(x^3-1)*(x^5-1)] %Y A174019 Cf. A173548 (all magilatin squares), A173730 (symmetry types), A174018 (reduced squares by largest value), A174021 (reduced symmetry types by magic sum). %K A174019 nonn %O A174019 2,2 %A A174019 _Thomas Zaslavsky_, Mar 05 2010 %E A174019 "Distinct" values (incorrect) deleted by _Thomas Zaslavsky_, Apr 24 2010