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 A250527 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction 8
 50, 222, 222, 867, 1180, 867, 3123, 5029, 5029, 3123, 10660, 18859, 21955, 18859, 10660, 35064, 65310, 82023, 82023, 65310, 35064, 112373, 214812, 279161, 300131, 279161, 214812, 112373, 353517, 682921, 896191, 993123, 993123, 896191, 682921 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......50......222......867......3123.....10660......35064.....112373.....353517 .....222.....1180.....5029.....18859.....65310.....214812.....682921....2122743 .....867.....5029....21955.....82023....279161.....896191....2771901....8374485 ....3123....18859....82023....300131....993123....3088923....9240559...26984403 ...10660....65310...279161....993123...3183434....9580060...27710543...78195145 ...35064...214812...896191...3088923...9580060...27910024...78204775..213775147 ..112373...682921..2771901...9240559..27710543...78204775..212707851..565044857 ..353517..2122743..8374485..26984403..78195145..213775147..565044857.1462376991 .1097430..6501118.24944039..77707851.217483704..575554760.1478308633.3731976469 .3374226.19720580.73714737.222271083.600720730.1537251580.3832617341.9435234815 LINKS R. H. Hardin, Table of n, a(n) for n = 1..241 FORMULA Empirical for column k (k=2 recurrence also works for k=1): k=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5) k=2-7: a(n) = 14*a(n-1) -85*a(n-2) +294*a(n-3) -639*a(n-4) +906*a(n-5) -839*a(n-6) +490*a(n-7) -164*a(n-8) +24*a(n-9) EXAMPLE Some solutions for n=3 k=4 ..2..2..1..1..0....2..2..1..1..0....2..1..0..0..1....2..2..1..0..0 ..2..2..1..1..0....1..1..0..1..0....1..0..0..0..1....1..1..1..0..0 ..1..1..1..1..1....0..2..1..2..1....2..1..1..1..2....1..1..2..1..1 ..1..2..2..2..2....0..2..1..2..2....1..0..0..0..1....1..1..2..1..1 CROSSREFS Column 1 is A222993(n+1) Sequence in context: A097371 A179755 A186843 * A251065 A231087 A235956 Adjacent sequences:  A250524 A250525 A250526 * A250528 A250529 A250530 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 24 2014 STATUS approved

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Last modified December 4 15:36 EST 2021. Contains 349526 sequences. (Running on oeis4.)