A207521 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically

16, 256, 1152, 5369, 29622, 137719, 600283, 2713480, 12034046, 52033244, 225654415, 977903570, 4209142915, 18093980819, 77797857664, 334005490934, 1432816184496, 6146377438291, 26358559894264, 113005090485943

Offset

1,1

Comments

Row 5 of A207519

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) -25*a(n-2) +125*a(n-3) -583*a(n-4) +1307*a(n-5) -4302*a(n-6) +15782*a(n-7) -25397*a(n-8) +69323*a(n-9) -231136*a(n-10) +247794*a(n-11) -674877*a(n-12) +2236676*a(n-13) -1286667*a(n-14) +4793434*a(n-15) -15988083*a(n-16) +1881303*a(n-17) -28243884*a(n-18) +87896714*a(n-19) +25605630*a(n-20) +145297683*a(n-21) -373941454*a(n-22) -244932392*a(n-23) -647542757*a(n-24) +1228149444*a(n-25) +1218833067*a(n-26) +2411539146*a(n-27) -3084494449*a(n-28) -4153363899*a(n-29) -7262071975*a(n-30) +5817208512*a(n-31) +10455702949*a(n-32) +17413156138*a(n-33) -7982712423*a(n-34) -20111891835*a(n-35) -33113846402*a(n-36) +7398373630*a(n-37) +30252014861*a(n-38) +49983273603*a(n-39) -3532101870*a(n-40) -36367430451*a(n-41) -60135076604*a(n-42) -1007990935*a(n-43) +35839814696*a(n-44) +58017478336*a(n-45) +2842613375*a(n-46) -29854060929*a(n-47) -45245364315*a(n-48) -1439275298*a(n-49) +21574998415*a(n-50) +28816020001*a(n-51) -831625382*a(n-52) -13625474229*a(n-53) -15130551952*a(n-54) +1832280381*a(n-55) +7366334009*a(n-56) +6584469280*a(n-57) -1490238021*a(n-58) -3272503508*a(n-59) -2359877825*a(n-60) +761834962*a(n-61) +1143626018*a(n-62) +680947060*a(n-63) -271952010*a(n-64) -300089106*a(n-65) -153411906*a(n-66) +70415692*a(n-67) +56512912*a(n-68) +25899544*a(n-69) -13381904*a(n-70) -7191632*a(n-71) -3244896*a(n-72) +1932736*a(n-73) +555104*a(n-74) +294528*a(n-75) -204544*a(n-76) -18560*a(n-77) -21376*a(n-78) +16128*a(n-79) -1024*a(n-80) +1024*a(n-81) -512*a(n-82)

Example

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

Crossrefs

Sequence in context: A267717 A223190 A207469 * A207920 A208700 A207256

Adjacent sequences: A207518 A207519 A207520 * A207522 A207523 A207524

Keyword

nonn

Author

R. H. Hardin Feb 18 2012

Status

approved