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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.

A321352 Triangle T(n,k) giving the number of permutations pi of {1,2,...,n} such that for all i, pi(i) is not in {i, i+1, ..., i+k-1} (mod n), with 0 <= k <= n - 1.

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%I A321352 #53 Oct 12 2020 02:19:10
%S A321352 1,2,1,6,2,1,24,9,2,1,120,44,13,2,1,720,265,80,20,2,1,5040,1854,579,
%T A321352 144,31,2,1,40320,14833,4738,1265,264,49,2,1,362880,133496,43387,
%U A321352 12072,2783,484,78,2,1,3628800,1334961,439792,126565,30818,6208,888,125,2,1
%N A321352 Triangle T(n,k) giving the number of permutations pi of {1,2,...,n} such that for all i, pi(i) is not in {i, i+1, ..., i+k-1} (mod n), with 0 <= k <= n - 1.
%C A321352 This is A008305 with the rows reversed.
%C A321352 First column is A000142 (factorial numbers).
%C A321352 Second column is A000166 (derangements).
%C A321352 Third column is A000179 (ménage numbers).
%C A321352 Fourth column is A000183 (discordant permutations)
%H A321352 Peter Kagey, <a href="/A321352/b321352.txt">Table of n, a(n) for n = 1..276</a> (first 23 rows, flattened)
%e A321352 Table begins:
%e A321352        1
%e A321352        2,      1
%e A321352        6,      2,     1
%e A321352       24,      9,     2,     1
%e A321352      120,     44,    13,     2,    1
%e A321352      720,    265,    80,    20,    2,   1
%e A321352     5040,   1854,   579,   144,   31,   2,  1
%e A321352    40320,  14833,  4738,  1265,  264,  49,  2, 1
%e A321352   362880, 133496, 43387, 12072, 2783, 484, 78, 2, 1
%Y A321352 Cf. A008305.
%Y A321352 Cf. A000142, A000166, A000179, A000183, A004307, A189389, A184965.
%K A321352 nonn,tabl
%O A321352 1,2
%A A321352 _Peter Kagey_, Feb 25 2020