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A207563
Number of nX7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically
1
31, 961, 4719, 16812, 106833, 493471, 3275898, 17232331, 114004725, 647020166, 4243514607, 25257749917, 164582667340, 1010000577881, 6556696152743, 41041784984580, 265986401901157, 1686689372009279, 10927292093193426
OFFSET
1,1
COMMENTS
Column 7 of A207564
LINKS
FORMULA
Empirical: a(n) = 15*a(n-1) +77*a(n-2) -2046*a(n-3) -429*a(n-4) +128837*a(n-5) -179947*a(n-6) -5002742*a(n-7) +10715924*a(n-8) +134822996*a(n-9) -338437234*a(n-10) -2687118622*a(n-11) +7153313284*a(n-12) +41146741810*a(n-13) -109928061876*a(n-14) -495743990582*a(n-15) +1281266267798*a(n-16) +4769695136712*a(n-17) -11615524444272*a(n-18) -36971607384056*a(n-19) +83242108862650*a(n-20) +231971832217622*a(n-21) -476657723689140*a(n-22) -1180217986743574*a(n-23) +2196013630719333*a(n-24) +4866835465582423*a(n-25) -8172102704389697*a(n-26) -16227516943169348*a(n-27) +24594308969516143*a(n-28) +43563976143481107*a(n-29) -59768169359482685*a(n-30) -93570219609964538*a(n-31) +116743033427890578*a(n-32) +159413368148539118*a(n-33) -181770451410051698*a(n-34) -212969039687871148*a(n-35) +222750020950558944*a(n-36) +219831253212876016*a(n-37) -210942550899039672*a(n-38) -172065591066644864*a(n-39) +150479223605638368*a(n-40) +99752372852080576*a(n-41) -78048773506516656*a(n-42) -41589102799746720*a(n-43) +27987000640420608*a(n-44) +11997001677156768*a(n-45) -6427472710615200*a(n-46) -2258184690293760*a(n-47) +827419962124800*a(n-48) +247397856768000*a(n-49) -43647621120000*a(n-50) -11645337600000*a(n-51) for n>52
EXAMPLE
Some solutions for n=4
..0..0..0..0..0..0..0....1..1..1..1..1..1..1....0..1..1..0..1..1..0
..1..1..1..1..0..0..0....0..0..0..0..0..0..0....1..1..1..0..0..0..0
..0..0..0..0..0..0..0....1..0..0..0..0..0..0....0..1..1..0..0..0..0
..1..0..1..1..1..1..0....0..1..1..1..0..0..0....1..1..1..0..0..0..0
CROSSREFS
Sequence in context: A207767 A207734 A208693 * A207418 A223393 A207390
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 18 2012
STATUS
approved