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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
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
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.)