A218810 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..3 nXk array.

1, 3, 1, 7, 15, 1, 15, 61, 57, 1, 29, 249, 481, 225, 1, 57, 993, 3969, 3843, 895, 1, 113, 3969, 31741, 63499, 30719, 3551, 1, 225, 15871, 253877, 1015637, 1015887, 245509, 14089, 1, 449, 63467, 2030789, 16247233, 32496361, 16252713, 1962145, 55905, 1

Offset

1,2

Comments

Table starts

.1........3...........7..............15..................29

.1.......15..........61.............249.................993

.1.......57.........481............3969...............31741

.1......225........3843...........63499.............1015637

.1......895.......30719.........1015887............32496361

.1.....3551......245509........16252713..........1039771513

.1....14089.....1962145.......260019585.........33269071149

.1....55905....15681787......4159932363.......1064494567893

.1...221827...125331399.....66552822351......34060123730017

.1...880191..1001668973...1064747639097....1089805494659041

.1..3492529..8005501761..17034402072321...34869985369949693

.1.13858081.63981275411.272525472991467.1115718250329709413

Links

R. H. Hardin, Table of n, a(n) for n = 1..159

Example

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

Crossrefs

Row 1 is A218189

Sequence in context: A322069 A194595 A219063 * A218638 A232295 A228763

Adjacent sequences: A218807 A218808 A218809 * A218811 A218812 A218813

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 06 2012

Status

approved