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 A223949 T(n,k)=Number of nXk 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing 12
 2, 3, 4, 4, 9, 8, 5, 16, 27, 16, 6, 25, 54, 81, 32, 7, 36, 96, 177, 243, 64, 8, 49, 157, 321, 596, 729, 128, 9, 64, 241, 558, 1062, 2024, 2187, 256, 10, 81, 352, 928, 1821, 3645, 6869, 6561, 512, 11, 100, 494, 1479, 3115, 5951, 12856, 23285, 19683, 1024, 12, 121 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....3......4......5......6.......7.......8.......9......10......11 ....4.....9.....16.....25.....36......49......64......81.....100.....121 ....8....27.....54.....96....157.....241.....352.....494.....671.....887 ...16....81....177....321....558.....928....1479....2267....3356....4818 ...32...243....596...1062...1821....3115....5233....8564...13613...21017 ...64...729...2024...3645...5951....9919...16845...28558...47721...78071 ..128..2187...6869..12856..20275...31899...52532...89135..152495..259230 ..256..6561..23285..45626..71653..106838..166076..272997..464837..802560 ..512.19683..78942.161604.257568..372791..545443..849070.1401993.2401956 .1024.59049.267681.571202.928047.1333858.1866509.2733557.4294573.7150718 LINKS R. H. Hardin, Table of n, a(n) for n = 1..544 FORMULA Empirical: columns k=1..7 have recurrences of order 1,1,5,10,16,24,33 Empirical: rows n=1..7 are polynomials of degree n for k>0,0,1,2,3,4,5 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..1....0..0..0..1....1..1..1..1....0..0..0..1....0..0..0..0 ..0..0..1..1....0..1..1..1....0..1..1..1....0..0..0..0....0..0..0..1 ..0..0..1..1....0..1..1..1....0..0..0..0....0..0..0..1....0..1..1..1 CROSSREFS Column 1 is A000079 Column 2 is A000244 Row 1 is A000027(n+1) Row 2 is A000290(n+1) Sequence in context: A269619 A269435 A269656 * A224133 A228740 A269583 Adjacent sequences:  A223946 A223947 A223948 * A223950 A223951 A223952 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 29 2013 STATUS approved

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)