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A200371
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Number of 0..n arrays x(0..8) of 9 elements with zero 3rd differences
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1
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2, 3, 4, 5, 6, 7, 8, 11, 14, 21, 28, 35, 42, 49, 60, 75, 90, 105, 120, 139, 162, 185, 208, 233, 262, 295, 328, 365, 402, 447, 492, 541, 590, 639, 692, 757, 822, 887, 952, 1027, 1102, 1185, 1268, 1355, 1450, 1549, 1648, 1751, 1858, 1973, 2092, 2219, 2346, 2473, 2608
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = -a(n-2) -a(n-4) -a(n-6) -a(n-8) +a(n-15) +a(n-16) +a(n-17) +a(n-18) +a(n-19) +a(n-20) +2*a(n-21) +a(n-22) +2*a(n-23) +a(n-24) +a(n-25) +a(n-27) +a(n-28) +a(n-29) +a(n-30) -a(n-31) +a(n-32) -a(n-33) +a(n-34) -a(n-35) -2*a(n-37) -a(n-38) -2*a(n-39) -a(n-40) -a(n-41) -a(n-42) -2*a(n-43) -2*a(n-44) -2*a(n-45) -a(n-46) -a(n-47) -a(n-48) -2*a(n-49) -a(n-50) -2*a(n-51) -a(n-53) +a(n-54) -a(n-55) +a(n-56) -a(n-57) +a(n-58) +a(n-59) +a(n-60) +a(n-61) +a(n-63) +a(n-64) +2*a(n-65) +a(n-66) +2*a(n-67) +a(n-68) +a(n-69) +a(n-70) +a(n-71) +a(n-72) +a(n-73) -a(n-80) -a(n-82) -a(n-84) -a(n-86) -a(n-88)
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EXAMPLE
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Some solutions for n=10
..1....5....8....3....4....6....9...10....0....8...10....2....6....0....0....9
..1....5....7....3....4....6....9....9....4....8...10....2....3....0....1....8
..1....5....6....3....4....6....9....8....7....8...10....2....1....0....2....7
..1....5....5....3....4....6....9....7....9....8...10....2....0....0....3....6
..1....5....4....3....4....6....9....6...10....8...10....2....0....0....4....5
..1....5....3....3....4....6....9....5...10....8...10....2....1....0....5....4
..1....5....2....3....4....6....9....4....9....8...10....2....3....0....6....3
..1....5....1....3....4....6....9....3....7....8...10....2....6....0....7....2
..1....5....0....3....4....6....9....2....4....8...10....2...10....0....8....1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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