cp's OEIS Frontend

A220032 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 nXk array.

%I A220032 #6 Jul 23 2025 00:50:55
%S A220032 2,2,3,3,4,4,4,6,6,5,5,9,10,8,6,6,12,19,15,10,7,7,15,30,34,21,12,8,8,
%T A220032 18,42,61,55,28,14,9,9,21,55,95,111,83,36,16,10,10,24,69,137,192,187,
%U A220032 119,45,18,11,11,27,84,187,302,358,297,164,55,20,12,12,30,100,246,442,613,626
%N A220032 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 nXk array.
%C A220032 Table starts
%C A220032 ..2..2..3...4....5....6.....7.....8.....9....10....11....12....13....14...15
%C A220032 ..3..4..6...9...12...15....18....21....24....27....30....33....36....39...42
%C A220032 ..4..6.10..19...30...42....55....69....84...100...117...135...154...174..195
%C A220032 ..5..8.15..34...61...95...137...187...246...315...395...487...592...711..845
%C A220032 ..6.10.21..55..111..192...302...442...618...838..1111..1447..1857..2353.2948
%C A220032 ..7.12.28..83..187..358...613...962..1426..2034..2823..3839..5137..6782.8850
%C A220032 ..8.14.36.119..297..626..1165..1963..3088..4630..6711..9492.13175.18010
%C A220032 ..9.16.45.164..450.1038..2094..3789..6334..9995.15133.22239.31956
%C A220032 .10.18.55.219..656.1646..3587..6962.12375.20581.32588
%C A220032 .11.20.66.285..926.2513..5893.12243.23132.40583
%C A220032 .12.22.78.363.1272.3714..9335.20705.41537
%C A220032 .13.24.91.454.1707.5337.14323.33819
%H A220032 R. H. Hardin, <a href="/A220032/b220032.txt">Table of n, a(n) for n = 1..198</a>
%e A220032 Some solutions for n=3 k=4
%e A220032 ..0..0..0..0....1..0..0..0....1..0..0..0....0..0..0..0....1..0..0..0
%e A220032 ..0..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0....1..1..1..0
%e A220032 ..1..1..0..0....1..1..0..0....1..0..0..0....1..1..1..1....1..1..1..1
%Y A220032 Column 1 is A000027(n+1)
%Y A220032 Column 2 is A004275(n+1)
%Y A220032 Column 3 is A000217(n+1)
%Y A220032 Column 4 is A062748 for n>1
%Y A220032 Row 1 is A000027
%Y A220032 Row 2 is A204502(n+3)
%K A220032 nonn,tabl
%O A220032 1,1
%A A220032 _R. H. Hardin_ Dec 03 2012