A194794 - OEIS

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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

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

(list; table; graph; refs; listen; history; text; internal format)

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

R. H. Hardin, Table of n, a(n) for n = 1..165

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

Adjacent sequences: A194791 A194792 A194793 * A194795 A194796 A194797

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 03 2011

STATUS

approved