|
| |
|
|
A165382
|
|
Number of slanted nX5 (i=1..n)X(j=i..5+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value
|
|
1
| |
|
|
105, 1382, 6412, 18900, 40058, 70658, 110364, 159322, 217548, 284834, 361612, 447194, 542556, 646402, 760380, 882458, 1015084, 1155362, 1306668, 1465114, 1635132, 1811714, 2000476, 2195162, 2402700, 2615458, 2841804, 3072602, 3317788
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,1
|
|
|
LINKS
| R. H. Hardin, Table of n, a(n) for n=2..41
|
|
|
FORMULA
| Empirical: a(n)=3*a(n-2)-3*a(n-4)+a(n-6) for n>=13
|
|
|
EXAMPLE
| Some solutions for n=3
...1.2.2.2.2.......1.2.2.2.2.......1.1.1.2.2.......1.1.1.2.2....
.....3.3.2.3.3.......2.3.2.4.4.......3.3.3.3.4.......3.3.2.4.4..
.......3.3.3.3.4.......3.3.3.4.4.......3.3.3.4.4.......3.3.3.4.4
------
...1.1.2.2.2.......1.1.3.3.2.......1.1.1.1.2.......1.1.2.2.2....
.....3.3.2.2.2.......1.3.3.2.2.......2.2.2.2.4.......3.3.4.4.4..
.......3.3.3.3.4.......3.3.2.4.4.......3.2.4.4.4.......3.3.3.4.4
------
...1.1.1.1.2.......1.1.1.1.2.......1.2.2.2.2.......1.1.3.3.2....
.....1.2.2.2.2.......3.3.3.2.2.......3.3.3.2.2.......3.3.2.2.3..
.......3.3.4.4.4.......3.3.4.4.4.......3.2.2.2.4.......3.3.3.3.4
|
|
|
CROSSREFS
| Sequence in context: A166798 A033593 A058844 * A051015 A076377 A165374
Adjacent sequences: A165379 A165380 A165381 * A165383 A165384 A165385
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| R. H. Hardin (rhhardin(AT)att.net) Sep 17 2009
|
| |
|
|
