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A206868 Number of n X 5 0..1 arrays avoiding 0 0 0 horizontally and 1 0 1 vertically. 1
24, 576, 6139, 63866, 728935, 8373905, 95207761, 1080443638, 12271545504, 139429629845, 1584202545384, 17998962875523, 204492548469483, 2323314031658579, 26396091231602906, 299896697857816700 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A206871.

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) -77*a(n-2) +418*a(n-3) -191*a(n-4) -326*a(n-5) +11780*a(n-6) -15777*a(n-7) -112546*a(n-8) +30956*a(n-9) -485300*a(n-10) -179623*a(n-11) +12958992*a(n-12) +12158114*a(n-13) -88372551*a(n-14) -114504912*a(n-15) +308183446*a(n-16) +480083439*a(n-17) -621393177*a(n-18) -971856822*a(n-19) +785957180*a(n-20) +470385954*a(n-21) -709013883*a(n-22) +2000841599*a(n-23) +110590761*a(n-24) -3446166335*a(n-25) +1479989687*a(n-26) -1141679174*a(n-27) -2068575916*a(n-28) +4983487975*a(n-29) -407901884*a(n-30) +1053416686*a(n-31) +356294371*a(n-32) -3195205625*a(n-33) -1358482317*a(n-34) -3216369651*a(n-35) +368953540*a(n-36) +392356146*a(n-37) +2166065819*a(n-38) +3982572832*a(n-39) +2305733182*a(n-40) +4074870705*a(n-41) +1564223742*a(n-42) +2466908047*a(n-43) +436362259*a(n-44) +1332931456*a(n-45) -315550719*a(n-46) +710460963*a(n-47) -373415475*a(n-48) +286190697*a(n-49) -159276429*a(n-50) +65222985*a(n-51) -30196946*a(n-52) +3496748*a(n-53) -240024*a(n-54) -1660802*a(n-55) +860011*a(n-56) -218686*a(n-57) +67187*a(n-58) +44818*a(n-59) -23548*a(n-60) +8866*a(n-61) -3434*a(n-62) -131*a(n-63) +324*a(n-64) -102*a(n-65) +39*a(n-66) -a(n-67) -5*a(n-68) +a(n-69).

EXAMPLE

Some solutions for n=4

..1..1..0..1..0....1..1..0..0..1....1..1..1..0..1....0..0..1..0..1

..1..0..1..0..0....1..1..0..1..1....1..0..1..1..0....1..1..0..1..0

..1..0..1..0..1....1..0..1..1..1....0..0..1..0..0....1..0..0..1..0

..1..0..1..1..0....0..0..1..1..0....0..1..0..0..1....0..0..1..0..0

CROSSREFS

Cf. A206871.

Sequence in context: A206991 A292282 A206933 * A181221 A188563 A207085

Adjacent sequences:  A206865 A206866 A206867 * A206869 A206870 A206871

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 13 2012

STATUS

approved

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Last modified June 27 10:04 EDT 2022. Contains 354896 sequences. (Running on oeis4.)