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 A223789 T(n,k)=Number of nXk 0..2 arrays with rows, diagonals and antidiagonals unimodal 12
 3, 9, 9, 22, 81, 27, 46, 484, 729, 81, 86, 2116, 8635, 6561, 243, 148, 7396, 62365, 151580, 59049, 729, 239, 21904, 334230, 1560013, 2703137, 531441, 2187, 367, 57121, 1455816, 11012718, 39387861, 48302789, 4782969, 6561, 541, 134689, 5425943 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3..........9............22..............46................86 .....9.........81...........484............2116..............7396 ....27........729..........8635...........62365............334230 ....81.......6561........151580.........1560013..........11012718 ...243......59049.......2703137........39387861.........343454446 ...729.....531441......48302789......1026135371.......11150023974 ..2187....4782969.....862007289.....27088106846......377163884938 ..6561...43046721...15379566078....715394830136....12972494260444 .19683..387420489..274427327200..18858304684055...446829906314726 .59049.3486784401.4896915028511.496722962933967.15355124632228358 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) k=2: a(n) = 9*a(n-1) k=3: [order 15] k=4: [order 80] Empirical: rows n=1..5 are polynomials of order 4*n for k>0,0,1,8,15 EXAMPLE Some solutions for n=3 k=4 ..2..2..2..1....1..2..0..0....1..1..2..2....1..2..1..1....0..0..0..0 ..0..2..2..1....0..0..1..0....0..2..2..1....1..1..2..0....0..1..2..0 ..2..1..0..0....0..1..0..0....0..2..0..0....2..2..2..2....0..0..1..0 CROSSREFS Column 1 is A000244 Column 2 is A001019 Row 1 is A223718 Row 2 is A223719 Sequence in context: A223831 A223885 A223892 * A223975 A226852 A207235 Adjacent sequences: A223786 A223787 A223788 * A223790 A223791 A223792 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 27 2013 STATUS approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)