cp's OEIS Frontend

A374514 Number of n X n matrices whose values cover an initial interval of positive integers and whose rows and columns have values which are strictly increasing.

%I A374514 #17 Mar 20 2025 07:20:05
%S A374514 1,1,3,197,732963,289599115433,19454710000290140631,
%T A374514 324252739440855086589750626125,
%U A374514 1839663535877691613435674541258128354870051,4664717625821787781559533555514908690826684467996898799881,6714190347498763079980307954946450922919624466513063316268554904936722083543
%N A374514 Number of n X n matrices whose values cover an initial interval of positive integers and whose rows and columns have values which are strictly increasing.
%H A374514 Ludovic Schwob, <a href="/A374514/b374514.txt">Table of n, a(n) for n = 0..20</a>
%H A374514 Andrew Howroyd, <a href="/A374514/a374514.gp.txt">PARI Program</a>, Sep 2024.
%e A374514 The a(2) = 3 matrices are:
%e A374514   [1 2]    [1 2]    [1 3]
%e A374514   [2 3]    [3 4]    [2 4]
%o A374514 (PARI) \\ See Links section for program file.
%o A374514 vector(8, n, A374514(n-1))
%Y A374514 Main diagonal of A374985.
%Y A374514 Cf. A039622 (case all values also distinct), A068942, A376162 (case for symmetric matrices).
%K A374514 nonn
%O A374514 0,3
%A A374514 _Andrew Howroyd_, Sep 16 2024