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A223366 6X6X6 triangular graph coloring a rectangular array: number of nX4 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
1992, 139158, 11206806, 933306108, 78876317946, 6710970374274, 573055927043172, 49029858427514634, 4199534828773389870, 359921587558219055304, 30857755579495978344822, 2646091169147364118575306 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223370

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

EXAMPLE

Some solutions for n=3

..0..2..4..2....0..1..4..2....0..1..4..8....0..2..4..3....1..2..4..1

..2..0..1..4....2..4..2..5....1..4..7..4....2..4..3..4....2..5..2..4

..4..1..4..5....5..2..4..2....3..1..3..1....4..8..4..8....5..4..5..2

Vertex neighbors:

0 -> 1 2

1 -> 0 2 3 4

2 -> 0 1 4 5

3 -> 1 4 6 7

4 -> 1 2 3 5 7 8

5 -> 2 4 8 9

6 -> 3 7 10 11

7 -> 3 4 6 8 11 12

8 -> 4 5 7 9 12 13

9 -> 5 8 13 14

10 -> 6 11 15 16

11 -> 6 7 10 12 16 17

12 -> 7 8 11 13 17 18

13 -> 8 9 12 14 18 19

14 -> 9 13 19 20

15 -> 10 16

16 -> 10 11 15 17

17 -> 11 12 16 18

18 -> 12 13 17 19

19 -> 13 14 18 20

20 -> 14 19

CROSSREFS

Sequence in context: A028516 A206363 A233712 * A034588 A233935 A250380

Adjacent sequences:  A223363 A223364 A223365 * A223367 A223368 A223369

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified November 30 03:48 EST 2021. Contains 349417 sequences. (Running on oeis4.)