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A263744 T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and equal numbers of elements moved upwards and downwards 7
1, 1, 2, 1, 2, 3, 1, 2, 4, 5, 1, 2, 4, 10, 8, 1, 2, 4, 14, 19, 13, 1, 2, 4, 14, 36, 43, 21, 1, 2, 4, 14, 46, 110, 90, 34, 1, 2, 4, 14, 46, 214, 277, 202, 55, 1, 2, 4, 14, 46, 282, 664, 823, 434, 89, 1, 2, 4, 14, 46, 282, 1118, 2516, 2292, 971, 144, 1, 2, 4, 14, 46, 282, 1394, 5962 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

..1...1....1.....1......1......1......1......1......1......1......1......1

..2...2....2.....2......2......2......2......2......2......2......2......2

..3...4....4.....4......4......4......4......4......4......4......4......4

..5..10...14....14.....14.....14.....14.....14.....14.....14.....14.....14

..8..19...36....46.....46.....46.....46.....46.....46.....46.....46.....46

.13..43..110...214....282....282....282....282....282....282....282....282

.21..90..277...664...1118...1394...1394...1394...1394...1394...1394...1394

.34.202..823..2516...5962..10090..12658..12658..12658..12658..12658..12658

.55.434.2292..7989..21974..44914..68834..83122..83122..83122..83122..83122

.89.971.6862.30299.100324.266476.535262.816882.985730.985730.985730.985730

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..424

EXAMPLE

Some solutions for n=7 k=4

..3....3....0....2....3....4....2....0....3....4....2....3....3....3....1....1

..1....0....4....1....1....5....1....2....0....0....3....2....4....2....2....5

..0....4....5....0....2....3....6....4....2....3....6....0....6....1....0....2

..4....1....1....3....0....0....5....1....4....1....1....1....1....0....5....0

..2....5....3....5....4....2....0....3....6....5....0....4....0....4....3....6

..5....2....6....4....6....1....4....5....1....2....5....5....5....5....4....3

..6....6....2....6....5....6....3....6....5....6....4....6....2....6....6....4

CROSSREFS

Column 1 is A000045(n+1)

Diagonal is A062868

Sequence in context: A210950 A214314 A209435 * A268956 A208515 A286880

Adjacent sequences:  A263741 A263742 A263743 * A263745 A263746 A263747

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 25 2015

STATUS

approved

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Last modified March 6 04:10 EST 2021. Contains 341841 sequences. (Running on oeis4.)