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 A322255 #20 May 20 2023 05:17:55
%S A322255 2,6,24,2,120,14,720,90,2,5040,646,32,40320,5242,368,2,362880,47622,
%T A322255 3984,72,3628800,479306,44304,1496,2,39916800,5296790,521606,25384,
%U A322255 160,479001600,63779034,6564318,399848,6056,2,6227020800,831283558,88422296,6231544,161136,352
%N A322255 Triangle T(n,k) giving the number of permutations of 1..n with no adjacent elements within k in value, for n >= 2, 1 <= k <= floor(n/2).
%F A322255 T(n,k) = Sum_{j=k..floor(n/2)} A129534(n,j). - _Alois P. Heinz_, May 20 2023
%e A322255 Irregular triangle starts:
%e A322255 n\k| 1 2 3 4 5
%e A322255 ---+---------------------------------
%e A322255 2 | 2;
%e A322255 3 | 6;
%e A322255 4 | 24, 2;
%e A322255 5 | 120, 14;
%e A322255 6 | 720, 90, 2;
%e A322255 7 | 5040, 646, 32;
%e A322255 8 | 40320, 5242, 368, 2;
%e A322255 9 | 362880, 47622, 3984, 72;
%e A322255 10 | 3628800, 479306, 44304, 1496, 2;
%Y A322255 Cf. A000142, A002464, A127697, A129534, A179957-A179967.
%K A322255 nonn,tabf
%O A322255 2,1
%A A322255 _Seiichi Manyama_, Dec 01 2018