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 A249026 #22 Oct 25 2014 11:17:28 %S A249026 1,1,2,1,2,3,1,2,6,4,1,2,12,24,5,1,2,24,576,120,6,1,2,48,55296,161280, %T A249026 720,7,1,2,96,36972288,2781803520,812851200,5040,8,1,2,192, %U A249026 6268637952000,52260618977280,994393803303936000,61479419904000,40320,9 %N A249026 Array read by antidiagonals upwards: T(d,n) = number of d-dimensional permutations of n letters (d >= 0, n >= 1). %C A249026 By definition, this is the number of nXnXnX...Xn = n^(d+1) arrays of 0's and 1's with exactly one 1 in each row, column, ..., line, ... . %C A249026 An ordinary permutation is the case d = 1 (ordinary matrices with a single 1 in each row and column). %C A249026 Rows d=2,3,... correspond to Latin squares, cubes, etc. %H A249026 Linial, Nathan, and Zur Luria, <a href="http://arxiv.org/abs/1106.0649">An upper bound on the number of high-dimensional permutations</a>, arXiv preprint arXiv:1106.0649 [math.CO], (2011). %H A249026 Linial, Nathan, and Zur Luria, <a href="http://dx.doi.org/10.1007/s00493-014-2842-8">An upper bound on the number of high-dimensional permutations</a>, Combinatorica, 34 (2014), 471-486. %e A249026 The array begins: %e A249026 d\n: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, %e A249026 -------------------------------------------------------------- %e A249026 0: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, %e A249026 1: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, ... %e A249026 2: 1, 2, 12, 576, 161280, 812851200, 61479419904000, 108776032459082956800,... %e A249026 3: 1, 2, 24, 55296, 2781803520, 994393803303936000, ... %e A249026 4: 1, 2, 48, 36972288, 52260618977280, ... %e A249026 5: 1, 2, 96, 6268637952000, 2010196727432478720, ... %e A249026 6: 1, 2, 192, ... %e A249026 7: 1, 2, 384, ... %e A249026 8: 1, 2, 768, ... %e A249026 ... %Y A249026 Rows: A000142, A002860, A098679, A100540, A132206. %Y A249026 Column 4 = A249028. %Y A249026 See A249027 for another version. %K A249026 nonn,tabl %O A249026 0,3 %A A249026 _N. J. A. Sloane_, Oct 23 2014