A218233 T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array

1, 3, 3, 7, 15, 7, 13, 61, 61, 13, 25, 241, 497, 241, 25, 49, 961, 3969, 3969, 961, 49, 97, 3839, 31739, 63309, 31739, 3839, 97, 191, 15327, 253825, 1012165, 1012165, 253825, 15327, 191, 375, 61185, 2029849, 16187585, 32362849, 16187585, 2029849, 61185

Offset

1,2

Comments

Table starts

....1........3...........7..............13..................25

....3.......15..........61.............241.................961

....7.......61.........497............3969...............31739

...13......241........3969...........63309.............1012165

...25......961.......31739.........1012165............32362849

...49.....3839......253825........16187585..........1035156707

...97....15327.....2029849.......258892017.........33110750073

..191....61185....16232833......4140512637.......1059084383987

..375...244257...129815047.....66219989569......33875964329259

..737...975105..1038139593...1059068692053....1083559590888045

.1449..3892739..8302071585..16937884056129...34658833277009039

.2849.15540287.66392220265.270890753853217.1108600518368443675

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

Some solutions for n=3 k=4
..1..0..1..0....0..0..1..1....1..1..0..1....1..0..1..0....0..0..0..0
..1..0..0..1....1..1..1..0....1..1..0..1....0..0..1..0....1..0..0..1
..1..1..0..0....0..1..0..1....1..0..1..0....1..1..1..1....0..1..0..0

Crossrefs

Column 1 is A218199

Sequence in context: A119470 A060368 A218206 * A218319 A218196 A218372

Adjacent sequences: A218230 A218231 A218232 * A218234 A218235 A218236

Keyword

nonn,tabl

Author

R. H. Hardin Oct 24 2012

Status

approved