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A183419 T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j.

%I A183419 #7 Jul 22 2025 08:56:56
%S A183419 2,5,5,13,34,13,35,249,249,35,96,1920,5257,1920,96,267,15232,118128,
%T A183419 118128,15232,267,750,123323,2748326,7798591,2748326,123323,750,2123,
%U A183419 1012996,65521060,535504390,535504390,65521060,1012996,2123,6046,8413325
%N A183419 T(n,k)=Number of nXk 0..2 arrays with each sum of a(1..i,1..j) no greater than i*j.
%C A183419 Table starts
%C A183419 .....2.........5.............13..................35....................96
%C A183419 .....5........34............249................1920.................15232
%C A183419 ....13.......249...........5257..............118128...............2748326
%C A183419 ....35......1920.........118128.............7798591.............535504390
%C A183419 ....96.....15232........2748326...........535504390..........108917015732
%C A183419 ...267....123323.......65521060.........37791169786........22819790947743
%C A183419 ...750...1012996.....1589310971.......2719090433234......4882354760830113
%C A183419 ..2123...8413325....39061152272.....198527626261156...1061262556019472565
%C A183419 ..6046..70482133...969912553822...14661270464301970.233540084105702534983
%C A183419 .17303.594587235.24282796177101.1092691428398410348
%H A183419 R. H. Hardin, <a href="/A183419/b183419.txt">Table of n, a(n) for n = 1..97</a>
%e A183419 Some solutions for 5X4
%e A183419 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A183419 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A183419 ..0..0..1..1....0..0..2..1....0..0..2..0....0..1..0..0....0..0..1..1
%e A183419 ..1..1..0..2....0..0..2..1....0..0..1..0....1..1..1..1....0..2..2..2
%e A183419 ..2..1..2..0....2..1..0..0....0..2..1..0....0..2..2..0....1..2..2..1
%Y A183419 Column 1 is A005773(n+1)
%K A183419 nonn,tabl
%O A183419 1,1
%A A183419 _R. H. Hardin_ Jan 04 2011