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A205750 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order 1
2709, 16986, 240448, 2244622, 28155907, 292986186, 3496020388, 37842800738, 438825319336, 4848489973070, 55418134307368, 618474318718042, 7019335919990083, 78727055787609808, 890377168567158601 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A205753
LINKS
FORMULA
Empirical: a(n) = 165*a(n-2) +380*a(n-3) -8449*a(n-4) -32700*a(n-5) +209997*a(n-6) +1280168*a(n-7) -2521216*a(n-8) -30498036*a(n-9) -1986324*a(n-10) +496223906*a(n-11) +637544766*a(n-12) -5821618842*a(n-13) -12846281741*a(n-14) +49987445392*a(n-15) +155754796870*a(n-16) -302308475170*a(n-17) -1335326933446*a(n-18) +1028149866852*a(n-19) +8334088558100*a(n-20) +1960513007538*a(n-21) -35600330979936*a(n-22) -57858381446140*a(n-23) +66778771551109*a(n-24) +479910855937396*a(n-25) +414116167464695*a(n-26) -2638316327589526*a(n-27) -5047517588550728*a(n-28) +10630803862989904*a(n-29) +30337297998500973*a(n-30) -30928098542298922*a(n-31) -129196923994163371*a(n-32) +54719966562238936*a(n-33) +415347267790418904*a(n-34) +11028828829210054*a(n-35) -995713730843228592*a(n-36) -469652547043613002*a(n-37) +1600429292634336996*a(n-38) +1831946364796640492*a(n-39) -826871983512349911*a(n-40) -4197794343557749320*a(n-41) -4254387590714820143*a(n-42) +5831070085721084826*a(n-43) +16375202007437997449*a(n-44) -2453354200292497872*a(n-45) -34022466446468923946*a(n-46) -10003326926566441290*a(n-47) +50278861331888190347*a(n-48) +30928726044750954156*a(n-49) -60594593338396084192*a(n-50) -58198131212037044910*a(n-51) +70662364010956003123*a(n-52) +99795055133047251104*a(n-53) -83708134374049452966*a(n-54) -168372624992074465042*a(n-55) +77459155483913199152*a(n-56) +243868545253705326708*a(n-57) -21104610148526603930*a(n-58) -258459190800922884586*a(n-59) -68328730887602556130*a(n-60) +162832747269885969492*a(n-61) +121752278857254098032*a(n-62) -2768870106486680992*a(n-63) -97357565570176640134*a(n-64) -116722132505248334052*a(n-65) +30076175515043615798*a(n-66) +139645534902437413848*a(n-67) +19455276219907148456*a(n-68) -94683395027879269040*a(n-69) -29902093553118798164*a(n-70) +38905246637470392712*a(n-71) +18014751134975588864*a(n-72) -4541680947838747408*a(n-73) -4503004949424671736*a(n-74) -6314207263245469184*a(n-75) -2005185767405990976*a(n-76) +4898674935484730752*a(n-77) +2442936602163377392*a(n-78) -1536835683823170432*a(n-79) -924625377851893280*a(n-80) +59516248019209728*a(n-81) +36852307100678272*a(n-82) +118921077781794560*a(n-83) +93347456725239296*a(n-84) -40328899685050368*a(n-85) -31496518832852992*a(n-86) +6257832132935680*a(n-87) +3383110320586752*a(n-88) -519746557575168*a(n-89) +835775889408*a(n-90) for n>94
EXAMPLE
Some solutions for n=4
..0..0..0..0..1..0....0..0..1..2..0..0....0..0..0..0..1..2....0..0..0..0..0..1
..1..2..1..2..1..2....1..0..1..2..0..1....0..1..1..1..1..1....2..1..2..1..2..1
..0..1..2..1..0..1....0..1..0..1..2..0....2..2..0..2..0..2....0..2..0..2..1..2
..0..1..1..1..0..1....0..0..0..1..2..2....2..0..0..0..0..0....0..2..2..2..2..2
..0..2..0..2..2..1....2..1..2..1..0..1....1..1..2..1..2..1....0..1..0..1..0..1
CROSSREFS
Sequence in context: A205436 A031550 A083615 * A205472 A252430 A031622
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 30 2012
STATUS
approved

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)