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A264123
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Number of (n+1) X (3+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.
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1
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4, 45, 576, 5733, 53361, 533610, 5336100, 53361000, 533610000, 5336100000, 53361000000, 533610000000, 5336100000000, 53361000000000, 533610000000000, 5336100000000000, 53361000000000000, 533610000000000000
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 10*a(n-1) for n>5.
G.f.: x*(4 + 5*x + 126*x^2 - 27*x^3 - 3969*x^4) / (1 - 10*x).
a(n) = 53361*10^(n-5) for n>4.
(End)
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EXAMPLE
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Some solutions for n=4:
..0..1..9..5....0..8..9..5....0..8..4.10....0..8..9..3....0..8..4..3
..4..3..8..7....4.12.13..7....2.12..6..7....4..5.13.14....2.12..6..9
..6..2.12.11....1..2..3.18....1.16..3.11....1..2.10.11....1..7.17.11
.10.13.16.15...10..6.14.17....5.13.14.17...12..6..7.17....5.13.14.15
.14.17.18.19...16.15.11.19....9.15.18.19...16.15.18.19...16.10.18.19
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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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