login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (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 * A317448 A292900 A177893

Adjacent sequences:  A194791 A194792 A194793 * A194795 A194796 A194797

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 03 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 11 04:03 EDT 2020. Contains 336421 sequences. (Running on oeis4.)