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Search: a222290 -id:a222290
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Number of nX1 0..1 arrays with exactly floor(nX1/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
5
1, 0, 0, 3, 4, 4, 5, 20, 27, 48, 63, 175, 236, 512, 684, 1719, 2320, 5400, 7271, 17776, 24036, 57420, 77636, 188656, 255591, 617176, 836595, 2033175, 2759184, 6697744, 9094949, 22139780, 30086955, 73262232, 99615081, 242931321, 330503120
OFFSET
1,4
COMMENTS
Column 1 of A222290
LINKS
EXAMPLE
All solutions for n=4
..0....0....0
..1....0....0
..1....0....1
..1....1....1
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
2
0, 0, 4, 11, 8, 44, 144, 352, 692, 2488, 6476, 17095, 43308, 131488, 340000, 939959, 2520616, 7194232, 19142160, 53471296, 145636612, 407743540, 1107902624, 3092203004, 8488056840, 23644607144, 64986279340, 181063135999, 499746197884
OFFSET
1,3
COMMENTS
Column 2 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
..0..0....1..0....0..1....0..0....1..1....0..0....1..0....0..1....0..0....0..0
..1..1....0..0....0..0....1..0....1..1....0..0....1..1....1..1....0..1....0..1
..1..1....0..0....0..0....0..0....1..1....1..1....1..1....1..1....1..1....0..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX3 0..1 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
1
0, 4, 4, 35, 83, 532, 1427, 8540, 23798, 143594, 405187, 2455279, 6993039, 42590466, 121981025, 745909396, 2145554406, 13161790760, 37983541068, 233613349710, 675981684148, 4166412530876, 12082238135283, 74601934076542
OFFSET
1,2
COMMENTS
Column 3 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..0..0....0..1..1....0..0..1....0..0..0....0..0..0....0..0..0....0..1..0
..1..1..0....1..1..1....0..0..0....0..0..0....0..0..0....0..0..0....1..0..0
..1..1..1....1..1..1....0..0..0....1..0..0....1..0..0....1..0..1....0..0..0
..1..1..1....1..1..0....1..0..0....1..1..1....0..1..0....1..1..1....0..0..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX4 0..1 arrays with exactly floor(nX4/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
1
3, 11, 35, 208, 1125, 6619, 40321, 250681, 1569385, 9860229, 62350467, 395971584, 2523482587, 16126203359, 103311906743, 663339238220, 4267302505247, 27498492193747, 177468748791963, 1146905501859999, 7421110682709531
OFFSET
1,1
COMMENTS
Column 4 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1....0..1..1..1
..0..0..0..0....0..0..0..0....0..0..1..0....0..1..1..1....1..0..1..1
..0..0..1..1....0..0..1..1....0..0..0..0....0..0..1..1....0..1..1..1
..1..1..1..1....0..0..1..0....1..0..0..0....0..1..1..1....1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX5 0..1 arrays with exactly floor(nX5/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
1
4, 8, 83, 1125, 6582, 89852, 564838, 7879795, 50958999, 723447048, 4750196831, 67994171066, 451003258750, 6495868727212, 43379306929941, 627562261878355, 4211483429644946, 61133435798313074, 411800332378830207
OFFSET
1,1
COMMENTS
Column 5 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..1..0..0..0....0..0..0..0..0....0..0..0..1..1....0..0..0..1..0
..0..1..0..0..0....1..0..0..0..0....1..0..1..1..1....0..0..0..0..0
..0..0..1..0..0....0..0..0..0..0....1..1..0..1..1....0..0..0..1..0
..0..0..0..0..0....1..0..0..1..0....1..1..1..1..1....0..0..1..0..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX6 0..1 arrays with exactly floor(nX6/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
1
4, 44, 532, 6619, 89852, 1249354, 17801910, 256986006, 3744123550, 55066210090, 815041154350, 12128319606229, 181260757915998, 2718723553039248, 40900893166050078, 616897705864541974, 9325074227006211226
OFFSET
1,1
COMMENTS
Column 6 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..0..0..0..0..1....0..0..1..1..1..0....0..0..0..0..0..1....0..0..0..0..0..1
..0..0..0..0..1..1....0..1..1..1..1..1....1..0..0..0..0..0....0..0..0..0..1..1
..0..0..0..0..1..0....1..1..1..1..1..0....0..1..0..0..0..0....0..0..0..1..1..0
..0..0..0..1..1..0....1..1..1..1..1..0....0..1..0..0..0..0....0..0..0..0..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of nX7 0..1 arrays with exactly floor(nX7/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
1
5, 144, 1427, 40321, 564838, 17801910, 262048125, 8550246097, 129184703815, 4294346570524, 66002018148195, 2218403489369930, 34478463977532598, 1167416501197133512, 18284642742630658357, 622321211264493492467
OFFSET
1,1
COMMENTS
Column 7 of A222290
LINKS
EXAMPLE
Some solutions for n=4
..0..1..0..1..1..1..1....0..0..0..0..0..0..0....0..0..1..1..1..1..1
..1..1..1..0..1..1..1....0..0..0..1..0..1..0....0..1..0..1..1..1..1
..1..1..1..0..1..1..1....0..0..1..0..0..0..0....1..1..0..0..1..1..1
..1..1..0..1..1..1..1....0..0..0..1..0..0..0....1..1..0..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved
Number of n X n 0..1 arrays with exactly floor(n X n/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order
+10
0
1, 0, 4, 208, 6582, 1249354, 262048125, 288902941734, 350421368609396
OFFSET
1,3
COMMENTS
Diagonal of A222290
EXAMPLE
Some solutions for n=4
..0..0..0..1....0..0..0..0....0..0..1..1....0..0..0..1....0..0..0..0
..0..0..1..1....0..0..0..0....0..1..1..1....0..0..0..1....0..0..1..0
..0..0..1..1....0..0..1..0....0..0..1..1....0..0..1..1....0..0..0..1
..0..1..1..1....0..1..1..0....0..0..1..1....0..0..1..1....0..0..0..1
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2013
STATUS
approved

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