cp's OEIS Frontend

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.

A263757 Triangle read by rows: T(n,k) (n>=1, 0<=k is the number of permutations of n with maximal difference k between elements in the same cycle.

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%I A263757 #30 Jan 24 2019 14:24:21
%S A263757 1,1,1,1,2,3,1,4,7,12,1,7,17,35,60,1,12,44,93,210,360,1,20,103,275,
%T A263757 651,1470,2520,1,33,234,877,2047,5208,11760,20160,1,54,533,2544,7173,
%U A263757 18423,46872,105840,181440,1,88,1196,7135,27085,67545,184230,468720,1058400,1814400
%N A263757 Triangle read by rows: T(n,k) (n>=1, 0<=k<n) is the number of permutations of n with maximal difference k between elements in the same cycle.
%C A263757 Row sums give A000142, n >= 1.
%C A263757 Main diagonal gives A001710. - _Alois P. Heinz_, Sep 20 2016
%H A263757 Alois P. Heinz, <a href="/A263757/b263757.txt">Rows n = 1..15, flattened</a>
%H A263757 FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000209">Maximum difference of elements in cycles</a>.
%F A263757 T(n,k) = A276837(n,k+1) - A276837(n,k). - _Alois P. Heinz_, Sep 20 2016
%e A263757 Triangle begins:
%e A263757   1;
%e A263757   1,  1;
%e A263757   1,  2,  3;
%e A263757   1,  4,  7, 12;
%e A263757   1,  7, 17, 35,  60;
%e A263757   1, 12, 44, 93, 210, 360;
%e A263757   ...
%Y A263757 Cf. A000071, A000142, A001710, A276727, A276837, A276974, A277031.
%K A263757 nonn,tabl
%O A263757 1,5
%A A263757 _Christian Stump_, Oct 25 2015
%E A263757 More terms (rows n=7-10) from _Alois P. Heinz_, Sep 20 2016