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 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 10
 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, 18, 42, 61, 55, 28, 14, 9, 9, 21, 55, 95, 111, 83, 36, 16, 10, 10, 24, 69, 137, 192, 187, 119, 45, 18, 11, 11, 27, 84, 187, 302, 358, 297, 164, 55, 20, 12, 12, 30, 100, 246, 442, 613, 626 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..2..3...4....5....6.....7.....8.....9....10....11....12....13....14...15 ..3..4..6...9...12...15....18....21....24....27....30....33....36....39...42 ..4..6.10..19...30...42....55....69....84...100...117...135...154...174..195 ..5..8.15..34...61...95...137...187...246...315...395...487...592...711..845 ..6.10.21..55..111..192...302...442...618...838..1111..1447..1857..2353.2948 ..7.12.28..83..187..358...613...962..1426..2034..2823..3839..5137..6782.8850 ..8.14.36.119..297..626..1165..1963..3088..4630..6711..9492.13175.18010 ..9.16.45.164..450.1038..2094..3789..6334..9995.15133.22239.31956 .10.18.55.219..656.1646..3587..6962.12375.20581.32588 .11.20.66.285..926.2513..5893.12243.23132.40583 .12.22.78.363.1272.3714..9335.20705.41537 .13.24.91.454.1707.5337.14323.33819 LINKS R. H. Hardin, Table of n, a(n) for n = 1..198 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..0....1..0..0..0....1..0..0..0....0..0..0..0....1..0..0..0 ..0..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0....1..1..1..0 ..1..1..0..0....1..1..0..0....1..0..0..0....1..1..1..1....1..1..1..1 CROSSREFS Column 1 is A000027(n+1) Column 2 is A004275(n+1) Column 3 is A000217(n+1) Column 4 is A062748 for n>1 Row 1 is A000027 Row 2 is A204502(n+3) Sequence in context: A063084 A127079 A080251 * A219773 A187446 A240020 Adjacent sequences:  A220029 A220030 A220031 * A220033 A220034 A220035 KEYWORD nonn,tabl AUTHOR R. H. Hardin Dec 03 2012 STATUS approved

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Last modified May 20 21:39 EDT 2022. Contains 353876 sequences. (Running on oeis4.)