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A223368 6X6X6 triangular graph coloring a rectangular array: number of nX6 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
45984, 20537766, 11391019146, 6710970374274, 4058501783492178, 2480736960312897168, 1524391185435213940170, 939167584646744478258996, 579454062205580451233813394, 357802181014544893364679825516 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223370

LINKS

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

EXAMPLE

Some solutions for n=3

..1..0..2..5..2..0....1..0..2..4..5..8....1..0..2..4..2..5....1..0..2..4..5..9

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

..1..0..2..5..2..5....1..0..1..2..4..1....1..0..2..1..2..4....1..0..1..4..8..9

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: A031635 A159725 A210306 * A061405 A061529 A115939

Adjacent sequences:  A223365 A223366 A223367 * A223369 A223370 A223371

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified October 28 12:55 EDT 2021. Contains 348329 sequences. (Running on oeis4.)