A218592 T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nXk array

1, 3, 1, 7, 13, 1, 13, 57, 49, 1, 25, 225, 449, 191, 1, 49, 895, 3565, 3567, 737, 1, 97, 3565, 28325, 56629, 28305, 2849, 1, 191, 14189, 225647, 898763, 900213, 224643, 11011, 1, 375, 56489, 1798967, 14313773, 28543403, 14309253, 1782855, 42557, 1, 737, 224891

Offset

1,2

Comments

Table starts

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

.1......13..........57.............225................895

.1......49.........449............3565..............28325

.1.....191........3567...........56629.............898763

.1.....737.......28305..........900213...........28543403

.1....2849......224643........14309253..........906390787

.1...11011.....1782855.......227451273........28782653703

.1...42557....14149449......3615431533.......913998678577

.1..164481...112295673.....57468767413.....29024205558587

.1..635711...891223263....913489632033....921669292406117

.1.2456993..7073103393..14520292432269..29267787550042425

.1.9496161.56134970523.230806004700461.929404283528404253

Links

R. H. Hardin, Table of n, a(n) for n = 1..178

Example

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

Crossrefs

Column 2 is A218420

Row 1 is A218199

Sequence in context: A196845 A263446 A297192 * A113647 A370381 A161380

Adjacent sequences: A218589 A218590 A218591 * A218593 A218594 A218595

Keyword

nonn,tabl

Author

R. H. Hardin Nov 03 2012

Status

approved