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 A224353 T(n,k)=Number of nXk 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing 12
 3, 6, 9, 10, 36, 27, 15, 100, 216, 81, 21, 225, 788, 1296, 243, 28, 441, 2321, 5880, 7776, 729, 36, 784, 5840, 19608, 45064, 46656, 2187, 45, 1296, 13052, 57387, 160362, 349280, 279936, 6561, 55, 2025, 26610, 151010, 495985, 1351748, 2710892, 1679616 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3........6.........10.........15..........21..........28...........36 .....9.......36........100........225.........441.........784.........1296 ....27......216........788.......2321........5840.......13052........26610 ....81.....1296.......5880......19608.......57387......151010.......363392 ...243.....7776......45064.....160362......495985.....1421762......3816783 ...729....46656.....349280....1351748.....4231138....12340932.....34697869 ..2187...279936....2710892...11704964....37433596...107694133....300892325 ..6561..1679616...21021916..102319662...342170839...977742699...2654062881 .19683.10077696..163012744..895494806..3178789749..9202126546..24422915139 .59049.60466176.1264202660.7833508842.29672959682.88363107023.233364588801 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical: columns k=1..6 have recurrences of order 1,1,10,26,56,98 Empirical: rows n=1..7 are polynomials of degree 2*n for k>0,0,1,3,5,7,9 EXAMPLE Some solutions for n=3 k=4 ..1..1..1..2....0..0..1..1....0..0..2..2....1..2..2..2....0..2..2..2 ..1..1..1..2....0..0..2..2....0..1..1..2....0..1..2..2....1..1..2..2 ..0..0..1..2....0..1..1..1....0..1..1..2....1..2..2..2....1..1..1..2 CROSSREFS Column 1 is A000244 Column 2 is A000400 Row 1 is A000217(n+1) Row 2 is A000537(n+1) Sequence in context: A331841 A223999 A107084 * A224012 A340491 A329511 Adjacent sequences:  A224350 A224351 A224352 * A224354 A224355 A224356 KEYWORD nonn,tabl AUTHOR R. H. Hardin Apr 04 2013 STATUS approved

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Last modified August 19 18:30 EDT 2022. Contains 356229 sequences. (Running on oeis4.)