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A245134
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T(n,k)=Number of length n 0..k arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope
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8
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2, 3, 2, 4, 3, 4, 5, 4, 9, 4, 6, 5, 16, 9, 8, 7, 6, 25, 22, 39, 8, 8, 7, 36, 41, 112, 43, 20, 9, 8, 49, 66, 275, 172, 195, 18, 10, 9, 64, 107, 552, 505, 1064, 243, 52, 11, 10, 81, 158, 1029, 1248, 4005, 1742, 1209, 48, 12, 11, 100, 219, 1728, 2687, 11856, 8193, 11664, 1539
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OFFSET
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1,1
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COMMENTS
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Table starts
..2....3.....4......5......6.......7.......8........9.......10........11
..2....3.....4......5......6.......7.......8........9.......10........11
..4....9....16.....25.....36......49......64.......81......100.......121
..4....9....22.....41.....66.....107.....158......219......304.......403
..8...39...112....275....552....1029....1728.....2781.....4200......6171
..8...43...172....505...1248....2687....5220.....9385....15868.....25539
.20..195..1064...4005..11856...29813...66256...134091...252060....446193
.18..243..1742...8193..29182...85529..217336...494943..1033716...2012883
.52.1209.11664..68855.294024.1006089.2920784..7483887.17365380..37197259
.48.1539.19976.147117.754712.3011889.9995864.28810117.74285448.175024363
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LINKS
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FORMULA
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Empirical for row n:
n=1: a(n) = 2*a(n-1) -a(n-2)
n=2: a(n) = 2*a(n-1) -a(n-2)
n=3: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3)
n=4: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +2*a(n-5) -a(n-6) +2*a(n-7) -a(n-8)
n=5: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +6*a(n-5) -2*a(n-6) -2*a(n-7) +a(n-8)
n=6: [order 18]
n=7: [order 16]
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EXAMPLE
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Some solutions for n=7 k=4
..3....1....2....0....4....0....2....3....0....4....3....1....0....2....4....1
..1....4....0....0....0....1....1....0....3....0....3....3....2....1....0....3
..2....4....2....4....4....2....3....0....4....2....0....1....3....0....4....0
..3....2....4....0....1....2....4....4....3....3....2....4....1....2....4....1
..2....3....3....1....2....1....3....0....4....0....4....4....0....1....0....0
..1....3....1....0....1....0....1....3....0....1....1....3....2....2....2....0
..3....2....1....1....4....1....2....1....2....4....3....0....1....1....4....3
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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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