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 A250691 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction 17
 104, 543, 520, 2541, 2920, 2512, 11150, 13906, 15246, 11736, 47002, 60508, 74631, 76320, 53032, 193117, 249512, 324648, 383440, 362241, 233300, 780551, 995624, 1315446, 1670016, 1848953, 1647460, 1005121, 3122604, 3894542, 5098590, 6671458 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......104.......543.......2541.......11150.......47002......193117......780551 ......520......2920......13906.......60508......249512......995624.....3894542 .....2512.....15246......74631......324648.....1315446.....5098590....19218493 ....11736.....76320.....383440.....1670016.....6671458....25235016....92169818 ....53032....362241....1848953.....8038566....31728758...117793753...420283865 ...233300...1647460....8474002....36673634...143136866...523260542..1832718604 ..1005121...7249825...37322413...160222342...617657415..2224688673..7662909389 ..4260728..31113316..159438246...676640344..2571646112..9121206688.30911828018 .17835379.131014715..665575403..2784280670.10412478449.36332194553 .73930174.543845812.2731006288.11235235268.41269021168 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: [linear recurrence of order 7] for n>11 k=2: [order 13] for n>17 k=3: [same order 13] for n>17 k=4: [same order 13] for n>17 k=5: [same order 13] for n>17 k=6: [same order 13] for n>17 k=7: [same order 13] for n>17 Empirical for row n: n=1: [linear recurrence of order 7, cf. A250692] n=2: [order 10, cf. A250693] n=3: [order 16, cf. A250694] n=4: [same order 16, cf. A250695] n=5: [same order 16, cf. A250696] n=6: [same order 16, cf. A250697] n=7: [same order 16, cf. A250698]. EXAMPLE Some solutions for n=3 k=4 ..2..3..1..0..0....2..2..3..2..2....2..2..1..1..0....0..1..0..0..0 ..2..3..2..1..1....0..0..1..0..0....2..2..2..2..3....0..1..0..0..1 ..1..2..1..0..0....0..0..1..1..1....1..1..1..1..2....1..2..1..1..2 ..0..1..2..1..3....0..0..1..1..2....0..0..0..0..3....1..2..1..1..2 CROSSREFS Column 1 is A250669. Rows 1-7 are A250692, ..., A250698. Sequence in context: A234208 A234201 A250669 * A250692 A250676 A250677 Adjacent sequences:  A250688 A250689 A250690 * A250692 A250693 A250694 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 26 2014 STATUS approved

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)