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 A226955 #55 Aug 21 2020 05:53:09
%S A226955 0,0,0,1,0,0,0,0,1,1,1,4,0,2,2,6,2,11,2,13,20,24,9
%N A226955 Number of representations of n! as a sum of 3 positive cubes.
%C A226955 Conjecture: For any t >= 0, there are only finitely many values of n such that a(n) = t. - _Altug Alkan_, Aug 16 2020
%H A226955 Lars Blomberg, <a href="/A226955/a226955.txt">Table of n, a(n) for n = 1..21, with solutions</a>
%F A226955 a(n) = A025456(n!). - _Charles R Greathouse IV_, Oct 27 2013
%e A226955 n = 12, n! = 479001600 = x^3 + y^3 + z^3 with {x,y,z} = {35,309,766}, {47,214,777}, {60,486,714}, {240,504,696}; 4 solutions, hence a(12) = 4;
%e A226955 n = 16, n! = x^3 + y^3 + z^3 with {x,y,z} = {7644,21192,22212}, {8240,8400,27040}, {10980,15288,25212}, {11648,18016,23808}, {12096,19968,22368}, {13030,18330,23240}; 6 solutions, hence a(16) = 6.
%e A226955 From _Chai Wah Wu_, May 21 2017: (Start)
%e A226955 n = 22, n! = x^3 + y^3 + z^3 with (x,y,z) = (286272, 8168832, 8334144), (443100, 4806340, 10042760), (663040, 7882560, 8590400), (720720, 5343408, 9902592), (757890, 8108100, 8389710), (854812, 2888886, 10320506), (861120, 3584160, 10251360), (1025640, 2784600, 10326960), (1266408, 4510296, 10099728), (1443806, 7114569, 9129295), (1792350, 6013602, 9657648), (1814400, 3689280, 10221120), (1871415, 4292190, 10126305), (1926720, 5685120, 9771840), (2419200, 7506240, 8823360), (2517424, 7223832, 9008552), (2779200, 3144960, 10232640), (2870532, 6957468, 9140040), (3021408, 4549080, 10007592), (3244410, 7888800, 8429190), (3776535, 6384105, 9321480), (5083936, 5242592, 9467136), (5681592, 7233408, 8253000), (6391665, 6719895, 8239770)
%e A226955 n = 23, n! = x^3 + y^3 + z^3 with (x,y,z) = (136080, 8250480, 29352960), (5369910, 6098890, 29422400), (5766592, 18082176, 27029696), (6151320, 19606860, 26247060), (7572485, 23185155, 23485930), (8255520, 10856160, 28848960), (8678304, 19104696, 26316360), (11959740, 19850400, 25365060), (13799880, 22091640, 23172240)
%e A226955 (End)
%Y A226955 Cf. A003072 (numbers that are the sum of 3 positive cubes), A267414.
%K A226955 nonn,more
%O A226955 1,12
%A A226955 _Zak Seidov_, Jun 26 2013
%E A226955 a(17)-a(18) from _Giovanni Resta_, Jun 26 2013
%E A226955 a(4) corrected and a(19)-a(21) from _Lars Blomberg_, Sep 07 2013
%E A226955 a(22)-a(23) from _Chai Wah Wu_, May 21 2017