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A264313 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 0,0 0,1 1,0 -1,-2 or 0,2. 12
1, 6, 1, 20, 20, 1, 52, 139, 68, 1, 140, 735, 1032, 240, 1, 392, 4103, 11206, 7821, 832, 1, 1117, 24153, 130041, 167348, 58589, 2896, 1, 3155, 137703, 1605061, 3932500, 2495425, 440001, 10080, 1, 8845, 781453, 18898817, 101336088, 119041793 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.1......6.........20...........52...........140............392...........1117
.1.....20........139..........735..........4103..........24153.........137703
.1.....68.......1032........11206........130041........1605061.......18898817
.1....240.......7821.......167348.......3932500......101336088.....2478206839
.1....832......58589......2495425.....119041793.....6395409906...322126444477
.1...2896.....440001.....37246076....3604351803...402225464956.41578820903929
.1..10080....3303761....555887421..109088196333.25275285536728
.1..35072...24804389...8296387518.3301600532164
.1.122048..186235917.123820898705
.1.424704.1398284827
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 2*a(n-1) +4*a(n-2) +4*a(n-3)
k=3: [order 15]
k=4: [order 21]
k=5: [order 28]
Empirical for row n:
n=1: [linear recurrence of order 14]
n=2: [order 11]
EXAMPLE
Some solutions for n=4 k=4
..0..1..2..3..4....0..1..2..3..4....7..0..1..3..4....7..1..9..3..4
.12.13..7..6..9...12.13.14..7..8...12..5..2..6..9....0.13..2..6..8
..5.11.19..8.14....5..6.10.11..9...17.10.11..8.14....5.10.12.11.14
.10.15.24.16.17...22.16.24.18.17...22.15.24.13.18...22.23.15.18.19
.20.21.22.18.23...15.20.21.23.19...20.16.21.23.19...20.16.17.21.24
CROSSREFS
Sequence in context: A334504 A161151 A146383 * A096130 A120666 A050300
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 11 2015
STATUS
approved

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Last modified June 24 19:44 EDT 2024. Contains 373690 sequences. (Running on oeis4.)