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

Author

R. H. Hardin Nov 03 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A218420

Row 1 is A218199