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A250136
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Number of length n+2 0..4 arrays with the medians of every three consecutive terms nondecreasing
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1
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125, 485, 1827, 6902, 24125, 81664, 274901, 899306, 2878124, 9128858, 28568459, 88203357, 270034170, 819921694, 2468386488, 7381269147, 21942189228, 64848568804, 190676777475, 558132331487, 1626778221234, 4723078209157
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OFFSET
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1,1
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COMMENTS
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Column 4 of A250140
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 5*a(n-1) -10*a(n-2) +50*a(n-3) -155*a(n-4) +211*a(n-5) -786*a(n-6) +1706*a(n-7) -1383*a(n-8) +6007*a(n-9) -8058*a(n-10) +2038*a(n-11) -26882*a(n-12) +10262*a(n-13) +7248*a(n-14) +73688*a(n-15) +44407*a(n-16) -5079*a(n-17) -105040*a(n-18) -155452*a(n-19) -62796*a(n-20) +55668*a(n-21) +163440*a(n-22) +121104*a(n-23) +15552*a(n-24) -53568*a(n-25) -62208*a(n-26) -20736*a(n-27)
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EXAMPLE
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Some solutions for n=6
..0....0....0....1....1....0....2....1....3....2....0....0....2....0....2....3
..1....2....0....1....0....2....2....1....0....0....1....4....2....1....3....1
..2....2....4....4....0....0....3....3....0....0....3....0....3....2....0....0
..1....0....1....1....0....3....2....2....3....1....3....1....2....1....2....4
..3....4....1....1....2....4....2....4....2....4....3....3....3....2....2....3
..3....2....0....1....2....1....2....3....2....1....4....2....4....3....4....3
..3....2....1....0....0....3....0....3....2....0....3....2....3....0....1....3
..3....3....2....1....2....4....4....0....1....2....2....0....1....3....3....0
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CROSSREFS
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Sequence in context: A316387 A250900 A293040 * A141480 A155986 A128993
Adjacent sequences: A250133 A250134 A250135 * A250137 A250138 A250139
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Nov 13 2014
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STATUS
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approved
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