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A219078
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T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array
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14
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1, 3, 1, 5, 11, 1, 9, 47, 41, 1, 17, 165, 337, 149, 1, 31, 625, 2321, 2469, 547, 1, 57, 2435, 17537, 32945, 18499, 2007, 1, 105, 9367, 134809, 494713, 477309, 137251, 7361, 1, 193, 35901, 1023441, 7561349, 14228041, 6879341, 1019123, 27001, 1, 355, 137865
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OFFSET
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1,2
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COMMENTS
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Table starts
.1.......3...........5..............9.................17....................31
.1......11..........47............165................625..................2435
.1......41.........337...........2321..............17537................134809
.1.....149........2469..........32945.............494713...............7561349
.1.....547.......18499.........477309...........14228041.............433704331
.1....2007......137251........6879341..........407374825...........24734141495
.1....7361.....1019123.......99118753........11660290321.........1410242020653
.1...27001.....7573641.....1428782305.......333882416305........80444813963129
.1...99043....56263253....20594013941......9559854123673......4588436794733591
.1..363299...417979331...296830835781....273717397488937....261712432286491659
.1.1332617..3105269893..4278398369137...7837125931615553..14927540586501299193
.1.4888173.23069495037.61667023808785.224393896465841065.851435525780779197693
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..0..0....1..1..1..1....1..0..0..1....1..1..1..1....0..0..1..1
..0..0..1..0....1..0..0..1....1..1..0..0....1..1..1..0....1..1..1..0
..0..1..0..0....1..1..0..1....1..0..1..1....0..1..0..1....0..0..0..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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