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A264534 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. 13
1, 1, 0, 1, 4, 1, 1, 2, 4, 0, 1, 1, 13, 19, 1, 1, 16, 29, 40, 49, 0, 1, 16, 89, 166, 229, 100, 1, 1, 16, 261, 824, 1424, 696, 316, 0, 1, 68, 673, 3256, 13144, 8180, 3273, 766, 1, 1, 97, 1949, 15028, 82961, 119810, 59259, 12832, 1883, 0, 1, 128, 5545, 64156, 634896, 1293264 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

.0....4......2........1.........16...........16...........16...........68

.1....4.....13.......29.........89..........261..........673.........1949

.0...19.....40......166........824.........3256........15028........64156

.1...49....229.....1424......13144........82961.......634896......4694020

.0..100....696.....8180.....119810......1293264.....15187422....179414540

.1..316...3273....59259....1270837.....22000750....434877820...7956766442

.0..766..12832...373106...14103392....400032412..12164306720.370349399305

.1.1883..52897..2412437..139422769...6346673554.324326909569

.0.5221.209890.15444786.1489609039.110239970880

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..128

FORMULA

Empirical for column k:

k=1: a(n) = a(n-2)

k=2: [order 20]

k=3: [order 42]

Empirical for row n:

n=1: a(n) = a(n-1)

n=2: a(n) = 4*a(n-3) +2*a(n-4) +2*a(n-5) -2*a(n-9) -a(n-10)

n=3: a(n) = a(n-1) +12*a(n-3) +16*a(n-5)

n=4: [order 10] for n>11

EXAMPLE

Some solutions for n=4 k=4

.12..6.14..2..3...12.13.14..2..3....5..6..7..8..9...12.13..1..2..3

..0..1.19..7..4....0..1..6..7..4....0..1..2..3..4....0.11..6..7..4

..5.10.17..8..9....5.16.11..8..9...22.23.24.12.13....5.10.24..8..9

.20.11.22.13.24...10.21.22.23.24...10.11.16.17.14...20.21.22.23.14

.15.16.21.18.23...15.20.17.18.19...15.20.21.18.19...15.16.17.18.19

CROSSREFS

Sequence in context: A030747 A222171 A325529 * A228489 A096103 A204456

Adjacent sequences:  A264531 A264532 A264533 * A264535 A264536 A264537

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 17 2015

STATUS

approved

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Last modified May 23 13:32 EDT 2019. Contains 323514 sequences. (Running on oeis4.)