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

2709, 16986, 240448, 2244622, 28155907, 292986186, 3496020388, 37842800738, 438825319336, 4848489973070, 55418134307368, 618474318718042, 7019335919990083, 78727055787609808, 890377168567158601

Offset

1,1

Comments

Column 5 of A205753

Links

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

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

Adjacent sequences: A205747 A205748 A205749 * A205751 A205752 A205753

Keyword

nonn

Author

R. H. Hardin Jan 30 2012

Status

approved