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A207469
Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically
1
16, 256, 1152, 5369, 21517, 71928, 247631, 778010, 2406006, 7360306, 21881127, 65146723, 191700402, 561478139, 1642808262, 4784514520, 13933101566, 40513685939, 117692339295, 341873087318, 992380089279, 2880509432926
OFFSET
1,1
COMMENTS
Row 5 of A207467
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +13*a(n-2) -3*a(n-3) -119*a(n-4) -67*a(n-5) +465*a(n-6) +751*a(n-7) -893*a(n-8) -2195*a(n-9) -776*a(n-10) +1556*a(n-11) +1750*a(n-12) +10625*a(n-13) +11105*a(n-14) -16866*a(n-15) -49663*a(n-16) -14223*a(n-17) +28912*a(n-18) +50941*a(n-19) +88982*a(n-20) +102021*a(n-21) -115197*a(n-22) -319790*a(n-23) -153524*a(n-24) +112783*a(n-25) +230771*a(n-26) +322133*a(n-27) +439354*a(n-28) -248822*a(n-29) -665730*a(n-30) -555401*a(n-31) +274112*a(n-32) +71842*a(n-33) +596696*a(n-34) +240063*a(n-35) +243358*a(n-36) -796174*a(n-37) +83610*a(n-38) -302470*a(n-39) +338776*a(n-40) -264701*a(n-41) +550019*a(n-42) -367949*a(n-43) +165908*a(n-44) -302524*a(n-45) +325900*a(n-46) -245668*a(n-47) +260252*a(n-48) -129807*a(n-49) +117245*a(n-50) -184522*a(n-51) +90386*a(n-52) -85685*a(n-53) +60495*a(n-54) -26715*a(n-55) +52711*a(n-56) -25388*a(n-57) +14189*a(n-58) -13400*a(n-59) +4235*a(n-60) -7679*a(n-61) +4005*a(n-62) -1220*a(n-63) +1207*a(n-64) -319*a(n-65) +632*a(n-66) -264*a(n-67) +8*a(n-68) -46*a(n-69) -4*a(n-70) -25*a(n-71) +11*a(n-72) +7*a(n-73) -a(n-75)
EXAMPLE
Some solutions for n=4
..1..1..0..0....1..0..1..0....1..1..1..1....1..1..0..1....0..0..1..0
..1..1..0..0....1..1..1..1....1..1..0..0....1..0..1..0....1..0..0..1
..0..1..0..1....1..1..1..1....0..1..0..0....0..0..1..0....1..0..0..1
..0..1..0..1....1..1..1..1....0..0..1..0....0..1..0..0....0..1..0..0
..1..1..0..1....1..1..1..0....0..0..1..0....1..1..0..0....0..1..0..0
CROSSREFS
Sequence in context: A208552 A267717 A223190 * A207521 A207920 A208700
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 18 2012
STATUS
approved