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A194794
T(n,k)=Number of lower triangles of an (n+1)X(n+1) 0..k array with new values introduced in row major order 0..k and no element equal to any horizontal, diagonal, antidiagonal or vertical neighbor
5
0, 1, 0, 1, 0, 0, 1, 4, 0, 0, 1, 9, 12, 0, 0, 1, 10, 252, 32, 0, 0, 1, 10, 942, 11160, 80, 0, 0, 1, 10, 1530, 267856, 779544, 192, 0, 0, 1, 10, 1719, 1587724, 187321720, 86082552, 448, 0, 0, 1, 10, 1743, 4018152, 6012771932, 320268943536, 15042748752, 1024, 0, 0, 1, 10
OFFSET
1,8
COMMENTS
Table starts
.0.1....1.............1....................1........................1
.0.0....4.............9...................10.......................10
.0.0...12...........252..................942.....................1530
.0.0...32.........11160...............267856..................1587724
.0.0...80........779544............187321720...............6012771932
.0.0..192......86082552.........320268943536...........76835222989340
.0.0..448...15042748752.....1338718951693520......3302081001560127592
.0.0.1024.4162973481720.13681233554467188752.477232970093526846547868
LINKS
EXAMPLE
Some solutions for n=3 k=3
..0........0........0........0........0........0........0........0
..1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2
..3.0.1....3.0.3....3.0.3....0.3.0....3.0.1....3.0.3....0.3.0....0.3.0
..1.2.3.0..2.1.2.1..2.1.2.0..2.1.2.3..1.2.3.2..1.2.1.0..2.1.2.1..1.2.1.2
CROSSREFS
Column 3 is A001787
Sequence in context: A046783 A134832 A123163 * A337967 A317448 A292900
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 03 2011
STATUS
approved