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Square array read by antidiagonals: row n lists numbers whose maximal frequency in a fixed row of A036038 (or A078760) is equal to n, i.e., numbers m such that A376663(m) = n.
8

%I #8 Oct 05 2024 14:00:40

%S 1,2,56,3,210,166320,4,504,360360,4084080,5,1260,720720,17907120,

%T 1396755360,6,1365,2162160,73513440,4190266080,698377680,7,1680,

%U 5045040,75675600,4655851200,13967553600,146659312800,8,1716,5765760,220540320,4942365120,27935107200,293318625600,1075501627200

%N Square array read by antidiagonals: row n lists numbers whose maximal frequency in a fixed row of A036038 (or A078760) is equal to n, i.e., numbers m such that A376663(m) = n.

%C In case there are only finitely many solutions for a certain value of n, the rest of that row is filled with 0's.

%C Each positive integer appears exactly once in the array, so as a linear sequence it is a permutation of the positive integers (unless there are any 0's).

%H Pontus von Brömssen, <a href="/A376667/b376667.txt">Table of n, a(n) for n = 1..465</a> (antidiagonals 1..30)

%e Array begins:

%e n\k| 1 2 3 4 5 6

%e ---+----------------------------------------------------------------------------------------

%e 1 | 1 2 3 4 5 6

%e 2 | 56 210 504 1260 1365 1680

%e 3 | 166320 360360 720720 2162160 5045040 5765760

%e 4 | 4084080 17907120 73513440 75675600 220540320 411863760

%e 5 | 1396755360 4190266080 4655851200 4942365120 9884730240 24443218800

%e 6 | 698377680 13967553600 27935107200 267711444000 537750813600 586637251200

%e 7 | 146659312800 293318625600 1606268664000 3226504881600 6184134356400 7228208988000

%e 8 | 1075501627200 6453009763200 12368268712800 24736537425600 29683844910720 74209612276800

%Y Cf. A036038, A078760, A325306 (complement of first row), A376370, A376663, A376673 (first column).

%Y First five rows are A376668, A376669, A376670, A376671, A376672.

%K nonn,tabl

%O 1,2

%A _Pontus von Brömssen_, Oct 02 2024