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A206998 Number of nX6 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically 1
37, 1369, 22412, 329734, 3997768, 45723467, 490003769, 5103567157, 51807992828, 518750864780, 5136996763120, 50533275790875, 494596054748445, 4825211735184925, 46961657561060264, 456327124491932772 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A207000
LINKS
FORMULA
Empirical: a(n) = 32*a(n-1) -256*a(n-2) -2153*a(n-3) +40592*a(n-4) -40605*a(n-5) -2321474*a(n-6) +9645809*a(n-7) +69942106*a(n-8) -499963020*a(n-9) -1108482903*a(n-10) +14903232661*a(n-11) +2658716352*a(n-12) -300926165719*a(n-13) +310069400782*a(n-14) +4399589173985*a(n-15) -8562759785325*a(n-16) -48104831116880*a(n-17) +135141655151082*a(n-18) +397977638915846*a(n-19) -1521146392877768*a(n-20) -2463640429210032*a(n-21) +13129176656899098*a(n-22) +10741125721107121*a(n-23) -90066982871083409*a(n-24) -24683775530522841*a(n-25) +501815917491267294*a(n-26) -63252765396519782*a(n-27) -2304054017602312318*a(n-28) +1012877132997186121*a(n-29) +8809335261890165239*a(n-30) -6162290594037200811*a(n-31) -28265795364480552488*a(n-32) +26196165704157578004*a(n-33) +76554898997805850330*a(n-34) -86990124464103499635*a(n-35) -175771135135863545891*a(n-36) +235545461959675166077*a(n-37) +343157556180343443286*a(n-38) -531570652655892961714*a(n-39) -570682593402521730444*a(n-40) +1012957992391385554327*a(n-41) +808886121830738664903*a(n-42) -1643852208251754894565*a(n-43) -976263777681567498848*a(n-44) +2285163272342414357916*a(n-45) +1000406155098588939672*a(n-46) -2732371042759022600063*a(n-47) -865295414813371328966*a(n-48) +2818179751614456174309*a(n-49) +624784350623520217530*a(n-50) -2511971715169857832217*a(n-51) -368528002169960320714*a(n-52) +1936989611033012774152*a(n-53) +169150109823796709335*a(n-54) -1292503146057886986570*a(n-55) -52069231488313526666*a(n-56) +746012134330221084168*a(n-57) +2296283828974100317*a(n-58) -372035029491147558774*a(n-59) +9775941784261301839*a(n-60) +160009125724265444710*a(n-61) -7900898171676875732*a(n-62) -59195816915777027599*a(n-63) +3997702027148390289*a(n-64) +18772000554469136821*a(n-65) -1536001088926422837*a(n-66) -5079957124868869861*a(n-67) +473146021233758752*a(n-68) +1166491389606953028*a(n-69) -119225272868152098*a(n-70) -225673681930866638*a(n-71) +24737176556631020*a(n-72) +36454331025476968*a(n-73) -4221997355935592*a(n-74) -4860643156971960*a(n-75) +588893987379552*a(n-76) +527013848010640*a(n-77) -66338056425480*a(n-78) -45547298884088*a(n-79) +5926986618144*a(n-80) +3052020811968*a(n-81) -408935001008*a(n-82) -152255842384*a(n-83) +20929108096*a(n-84) +5301042464*a(n-85) -744705600*a(n-86) -114436608*a(n-87) +16356096*a(n-88) +1147392*a(n-89) -165888*a(n-90)
EXAMPLE
Some solutions for n=4
..0..1..1..1..1..0....0..1..1..1..0..1....0..1..1..0..0..0....0..0..1..1..1..1
..0..1..1..1..0..0....1..0..1..1..1..0....0..1..1..0..1..1....1..0..0..0..1..1
..1..1..1..0..0..1....0..0..1..1..0..0....1..1..0..0..0..0....0..0..0..0..1..1
..0..0..0..1..1..0....0..1..1..0..1..1....0..1..1..0..0..0....1..1..0..0..0..1
CROSSREFS
Sequence in context: A206875 A188505 A206881 * A189614 A206887 A188771
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 14 2012
STATUS
approved

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Last modified April 18 18:13 EDT 2024. Contains 371781 sequences. (Running on oeis4.)