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 A224158 T(n,k)=Number of nXk 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing 12
 2, 4, 4, 7, 12, 8, 11, 28, 36, 16, 16, 56, 89, 108, 32, 22, 101, 187, 281, 324, 64, 29, 169, 373, 574, 900, 972, 128, 37, 267, 702, 1156, 1783, 2935, 2916, 256, 46, 403, 1252, 2271, 3469, 5657, 9681, 8748, 512, 56, 586, 2130, 4339, 6786, 10562, 18408, 32020, 26244 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....4......7.....11......16......22......29......37.......46.......56 ....4....12.....28.....56.....101.....169.....267.....403......586......826 ....8....36.....89....187.....373.....702....1252....2130.....3479.....5486 ...16...108....281....574....1156....2271....4339....8008....14257....24519 ...32...324....900...1783....3469....6786...13283...25624....48339....88755 ...64...972...2935...5657...10562...20065...39037...76393...148637...284937 ..128..2916...9681..18408...32910...60214..114537..222841...437497...857104 ..256..8748..32020..61140..105020..184233..340134..650819..1271950..2506424 ..512.26244.105937.205390..342575..575410.1025559.1918648..3705824..7278086 .1024.78732.350311.694018.1136503.1833641.3143071.5721195.10873402.21181267 LINKS R. H. Hardin, Table of n, a(n) for n = 1..797 FORMULA Empirical: columns k=1..7 have recurrences of order 1,1,9,13,20,24,33 for n>0,0,0,14,22,27,37 Empirical: rows n=1..7 are polynomials of degree 2*n for k>0,0,2,4,6,8,10 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..0....1..1..0..0....0..0..1..0....0..1..1..0....0..0..1..0 ..0..0..0..0....1..0..0..0....1..1..0..0....1..1..1..1....1..1..1..0 ..0..0..1..0....0..0..0..0....1..1..1..0....1..1..1..1....1..1..1..1 CROSSREFS Column 1 is A000079 Column 2 is A003946 Row 1 is A000124 Row 2 is A223764 Sequence in context: A227558 A296651 A297085 * A224409 A226870 A227751 Adjacent sequences: A224155 A224156 A224157 * A224159 A224160 A224161 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 31 2013 STATUS approved

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Last modified September 9 12:01 EDT 2024. Contains 375764 sequences. (Running on oeis4.)