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A180915
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T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k*i and -k<p(i+1)-p(i)<=k
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9
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1, 1, 2, 1, 3, 4, 1, 4, 11, 8, 1, 5, 21, 42, 16, 1, 6, 34, 116, 163, 32, 1, 7, 50, 245, 659, 639, 64, 1, 8, 69, 444, 1827, 3802, 2520, 128, 1, 9, 91, 728, 4095, 13875, 22146, 9976, 256, 1, 10, 116, 1112, 7996, 38532, 106612, 129838, 39595, 512, 1, 11, 144, 1611, 14168
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OFFSET
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1,3
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COMMENTS
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Paths down a n-high staggered-grid minimally right-leaning right triangle with interior neighbor fanout 2*k
Table starts
...1......1.......1........1.........1..........1..........1...........1
...2......3.......4........5.........6..........7..........8...........9
...4.....11......21.......34........50.........69.........91.........116
...8.....42.....116......245.......444........728.......1112........1611
..16....163.....659.....1827......4095.......7996......14168.......23354
..32....639....3802....13875.....38532......89712.....184564......346392
..64...2520...22146...106612....367322....1020651....2439577.....5215708
.128...9976..129838...825764...3533112...11723768...32572164....79355229
.256..39595..764731..6432933..34204975..135611317..438101477..1216613579
.512.157441.4519504.50331286.332775412.1576988939.5925607074.18760964625
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STATUS
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approved
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