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 A216937 T(n,k)=Number of side-n hexagonal 0..k arrays with values nondecreasing E, SW and SE 13
 2, 3, 10, 4, 53, 52, 5, 200, 1211, 260, 6, 606, 17336, 27768, 1256, 7, 1572, 175869, 1664244, 618013, 5908, 8, 3630, 1374208, 64697626, 161114424, 13312100, 27224, 9, 7656, 8737047, 1783839948, 25604764159, 15316983096, 278398992, 123432, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ........2...............3....................4........................5 .......10..............53..................200......................606 .......52............1211................17336...................175869 ......260...........27768..............1664244.................64697626 .....1256..........618013............161114424..............25604764159 .....5908........13312100..........15316983096...........10284525151080 ....27224.......278398992........1419691311304.........4096557367365808 ...123432......5675814840......128192490487336......1603120459023088062 ...552400....113227696037....11293174782625768....614279244262328965406 ..2446004...2217264763644...972723674586291992.230325185716748014038168 .10735352..42732777814040.82102763053800998896 .46766200.812306057415128 LINKS R. H. Hardin, Table of n, a(n) for n = 1..98 FORMULA Empirical for rows: Row 1 is a polynomial of degree 1 Row 2 is a polynomial of degree 7 Row 3 is a polynomial of degree 19 EXAMPLE Some solutions for n=3 k=4 ......0.0.1..........0.0.1..........0.0.0..........0.0.0..........0.0.0 .....0.0.2.4........0.1.3.3........0.0.0.0........0.0.0.1........0.0.2.4 ....3.3.3.4.4......1.2.4.4.4......0.0.1.1.1......0.1.1.2.3......0.4.4.4.4 .....4.4.4.4........3.4.4.4........1.1.1.3........2.3.3.4........4.4.4.4 ......4.4.4..........4.4.4..........3.3.4..........3.4.4..........4.4.4 CROSSREFS Column 1 is 2*A003583(n-1) Sequence in context: A274299 A119023 A213962 * A351629 A230625 A048985 Adjacent sequences: A216934 A216935 A216936 * A216938 A216939 A216940 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 20 2012 STATUS approved

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Last modified May 24 22:09 EDT 2024. Contains 372782 sequences. (Running on oeis4.)