A207693 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 60, 81, 13, 25, 225, 100, 144, 169, 18, 40, 625, 240, 256, 312, 324, 25, 64, 1600, 576, 768, 576, 612, 625, 34, 104, 4096, 1296, 2304, 1872, 1156, 1250, 1156, 46, 169, 10816, 2916, 5856, 6084, 4216, 2500, 2516, 2116, 62, 273

Offset

1,1

Comments

Table starts

..2....4....6....9....15.....25.....40......64.....104......169.......273

..4...16...36...81...225....625...1600....4096...10816....28561.....74529

..6...36...60..100...240....576...1296....2916....6804....15876.....36288

..9...81..144..256...768...2304...5856...14884...42700...122500....320600

.13..169..312..576..1872...6084..18564...56644..177548...556516...1724752

.18..324..612.1156..4216..15376..50096..163216..578528..2050624...6804864

.25..625.1250.2500.10000..40000.145200..527076.2056032..8020224..29854944

.34.1156.2516.5476.24420.108900.453420.1887876.8263236.36168196.155101060

Links

R. H. Hardin, Table of n, a(n) for n = 1..648

Example

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

Crossrefs

Column 1 is A171861(n+1)

Column 2 is A207025

Column 3 is A207584

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Sequence in context: A207123 A207442 A209224 * A208108 A207729 A208118

Adjacent sequences: A207690 A207691 A207692 * A207694 A207695 A207696

Keyword

nonn,tabl

Author

R. H. Hardin Feb 19 2012

Status

approved