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A263389 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..n*k-1 with each element moved a city block distance of exactly 2. 5
1, 4, 4, 16, 144, 16, 36, 1600, 1600, 36, 169, 17376, 70225, 17376, 169, 576, 240100, 2205225, 2205225, 240100, 576, 2025, 3187140, 85599504, 188020096, 85599504, 3187140, 2025, 7056, 40513225, 3623076864, 24782315776, 24782315776 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........4.........16..........36.........169...........576.........2025

....4......144.......1600.......17376......240100.......3187140.....40513225

...16.....1600......70225.....2205225....85599504....3623076864.146943422224

...36....17376....2205225...188020096.24782315776.3447945608640

..169...240100...85599504.24782315776

..576..3187140.3623076864

.2025.40513225

.7056

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-2) +15*a(n-3) +35*a(n-4) +25*a(n-5) +5*a(n-6) -5*a(n-7) -25*a(n-8) -35*a(n-9) -15*a(n-10) -5*a(n-11) +a(n-13)

EXAMPLE

Some solutions for n=3 k=4

..2..3..0..7.14....2..3.12..1..8....2..3..0..9.14....2..5..6..1.14

.11..8..1..4.13....7.10.11..6.19...11..8..5..4..7....7..8.13.18..3

.12..5..6.19.18....0.17.16..9..4...12..1.10.19.18....0.15.10..9..4

.17.10.15.16..9....5.18.15.14.13...17..6.15.16.13...11.12.19.16.17

CROSSREFS

Sequence in context: A284494 A091541 A094354 * A019062 A019013 A165422

Adjacent sequences:  A263386 A263387 A263388 * A263390 A263391 A263392

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 16 2015

STATUS

approved

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Last modified May 28 01:48 EDT 2020. Contains 334671 sequences. (Running on oeis4.)