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%I #18 May 08 2024 02:25:05
%S 0,1,1,1,1,2,0,4,6,4,0,2,18,38,71,108,115,115,108,71,38,18,155,351,
%T 695,1067,1475,1815,2007,1815,1475,1067,695,351,155,1891,4768,9872,
%U 15370,22527,30096,35731,37957,37957,35731,30096,22527,15370,9872,4768,1891
%N Irregular triangle T read by rows: T(n, k) is the number of n-th order magic triangles with magic constant equal to A285009(n) + k, with 0 < k <= 3*n - 5.
%H Andrew Howroyd, <a href="/A342384/b342384.txt">Table of n, a(n) for n = 2..118</a> (rows 2..10)
%H Terrel Trotter, <a href="https://www.trottermath.net/simpleops/magictri.html">Normal Magic Triangles of Order n</a>, Journal of Recreational Mathematics Vol. 5, No. 1, 1972, pp. 28-32.
%H Terrel Trotter, <a href="https://www.trottermath.net/simpleops/pmp.html">Perimeter-Magic Polygons</a>, Journal of Recreational Mathematics Vol. 7, No. 1, 1974, pp. 14-20.
%e The triangle begins:
%e 0;
%e 1, 1, 1, 1;
%e 2, 0, 4, 6, 4, 0, 2;
%e 18, 38, 71, 108, 115, 115, 108, 71, 38, 18;
%e 155, 351, 695, 1067, 1475, 1815, 2007, 1815, 1475, 1067, 695, 351, 155;
%e ...
%o (PARI) \\ See A342467 for program code.
%o { for(n=2, 6, print(A342384row(n))) } \\ _Andrew Howroyd_, Feb 05 2022
%Y Cf. A016777 (row length), A179805, A285009, A341740, A342467 (row sums).
%K nonn,tabf
%O 2,6
%A _Stefano Spezia_, Mar 10 2021
%E Terms a(14) and beyond from _Andrew Howroyd_, Feb 05 2022
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