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A214597
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Number of 4X4X4 triangular 0..n arrays with every horizontal row having the same average value
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1
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2, 401, 1862, 10177, 33352, 103651, 250042, 589763, 1199614, 2377843, 4299560, 7631589, 12644114, 20709813, 32235854, 49618485, 73512984, 107991735, 153683050, 217344807, 299596702, 410511063, 550861288, 735611705, 964611698
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OFFSET
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1,1
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COMMENTS
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Row 4 of A214595
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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) = -3*a(n-1) -4*a(n-2) +a(n-3) +15*a(n-4) +28*a(n-5) +22*a(n-6) -18*a(n-7) -74*a(n-8) -96*a(n-9) -42*a(n-10) +78*a(n-11) +177*a(n-12) +165*a(n-13) +24*a(n-14) -155*a(n-15) -234*a(n-16) -155*a(n-17) +24*a(n-18) +165*a(n-19) +177*a(n-20) +78*a(n-21) -42*a(n-22) -96*a(n-23) -74*a(n-24) -18*a(n-25) +22*a(n-26) +28*a(n-27) +15*a(n-28) +a(n-29) -4*a(n-30) -3*a(n-31) -a(n-32)
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EXAMPLE
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Some solutions for n=4
.....2........2........2........2........2........2........1........2
....3.1......2.2......1.3......2.2......4.0......1.3......2.0......4.0
...2.2.2....1.2.3....3.2.1....0.2.4....1.1.4....4.2.0....0.3.0....4.2.0
..2.3.3.0..3.3.2.0..3.3.1.1..3.0.4.1..2.3.2.1..0.4.0.4..1.0.3.0..3.4.0.1
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CROSSREFS
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Sequence in context: A249178 A281650 A324403 * A283661 A067827 A070269
Adjacent sequences: A214594 A214595 A214596 * A214598 A214599 A214600
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Jul 22 2012
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STATUS
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approved
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