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 A223576 T(n,k)=Number of nXk 0..2 arrays with antidiagonals unimodal 7
 3, 9, 9, 27, 81, 27, 81, 729, 729, 81, 243, 6561, 16038, 6561, 243, 729, 59049, 352836, 352836, 59049, 729, 2187, 531441, 7762392, 16230456, 7762392, 531441, 2187, 6561, 4782969, 170772624, 746600976, 746600976, 170772624, 4782969, 6561, 19683 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3..........9.............27.................81...................243 .....9.........81............729...............6561.................59049 ....27........729..........16038.............352836...............7762392 ....81.......6561.........352836...........16230456.............746600976 ...243......59049........7762392..........746600976...........64207683936 ...729.....531441......170772624........34343644896.........5521860818496 ..2187....4782969.....3756997728......1579807665216.......474880030390656 ..6561...43046721....82653950016.....72671152599936.....40839682613596416 .19683..387420489..1818386900352...3342873019597056...3512212704769291776 .59049.3486784401.40004511807744.153772158901464576.302050292610159092736 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1000 FORMULA Let U(z) = (z^4+6*z^3+23*z^2+18*z+24)/24 T(n,k) = U(min(n,k))^(max(n,k)-min(n,k)+1) * product{ U(i)^2 , i=1..(min(n,k)-1) } EXAMPLE Some solutions for n=3 k=4 ..0..1..2..2....0..2..0..1....0..1..2..2....0..0..1..2....0..1..0..2 ..0..1..2..2....1..1..2..0....1..1..0..1....1..2..1..2....0..2..1..0 ..1..2..1..1....1..2..0..1....1..0..2..2....1..0..2..0....0..1..0..0 CROSSREFS Column 1 is A000244 Column 2 is A001019 Sequence in context: A268026 A268019 A228977 * A125824 A203558 A223653 Adjacent sequences:  A223573 A223574 A223575 * A223577 A223578 A223579 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 22 2013 STATUS approved

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Last modified September 20 19:27 EDT 2021. Contains 347589 sequences. (Running on oeis4.)