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Search: id:A165382
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| A165382 |
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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 |
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+0
1
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| 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; listen)
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OFFSET
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2,1
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LINKS
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R. H. Hardin, Table of n, a(n) for n=2..41
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FORMULA
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Empirical: a(n)=3*a(n-2)-3*a(n-4)+a(n-6) for n>=13
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EXAMPLE
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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
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...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
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...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
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CROSSREFS
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Sequence in context: A166798 A033593 A058844 this_sequence A051015 A076377 A165374
Adjacent sequences: A165379 A165380 A165381 this_sequence A165383 A165384 A165385
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhhardin(AT)att.net) Sep 17 2009
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