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A205092 Number of (n+1)X4 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors 1
8176, 171790, 4251766, 124624799, 3475452601, 103284968982, 2919626746607, 86197641979010, 2453463484438450, 72014842799848998, 2059874322374019950, 60211365812915468809, 1728263954109856017155, 50370389441209344396193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A205097

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) +665*a(n-2) -7252*a(n-3) +4793*a(n-4) +402548*a(n-5) -3655286*a(n-6) +22132836*a(n-7) -113094062*a(n-8) +578617866*a(n-9) -3086815658*a(n-10) +14548000368*a(n-11) -60619723818*a(n-12) +156372886098*a(n-13) +226101990548*a(n-14) -5832691767472*a(n-15) +44946063188649*a(n-16) -246463948812004*a(n-17) +1104797588181548*a(n-18) -4269738093637366*a(n-19) +14441950626272153*a(n-20) -43318931965825654*a(n-21) +117385676087004011*a(n-22) -290316300359025268*a(n-23) +659089575045520011*a(n-24) -1401982935397920922*a(n-25) +2893889095780757384*a(n-26) -5932270045390166088*a(n-27) +11999054958290894963*a(n-28) -23325683403075941238*a(n-29) +42503336470727585814*a(n-30) -72822846930075292308*a(n-31) +123409727874065182402*a(n-32) -218751043605390063042*a(n-33) +395182533704810877499*a(n-34) -667891087287406383768*a(n-35) +1000941922317431740605*a(n-36) -1340117933397204868058*a(n-37) +1679467229939054886886*a(n-38) -2038624027351278984226*a(n-39) +2339225727519089473209*a(n-40) -2370665148094982634354*a(n-41) +1970208098188219039481*a(n-42) -1225497750753030300054*a(n-43) +403947072476341696008*a(n-44) +346880554438160954664*a(n-45) -1121770628975285770650*a(n-46) +1988391879937265727062*a(n-47) -2702347996514482597103*a(n-48) +2890681853629126624282*a(n-49) -2511777080759153110404*a(n-50) +1928243080814551276344*a(n-51) -1461940678105468324632*a(n-52) +1056852820296341418810*a(n-53) -499999853869063899878*a(n-54) -167844865710493219216*a(n-55) +657860027435134486521*a(n-56) -812608278582406961418*a(n-57) +777123557439262238308*a(n-58) -739192181078992080410*a(n-59) +677859043197619746122*a(n-60) -488588173916180751304*a(n-61) +223139536169350625803*a(n-62) -40089983542013715886*a(n-63) -17751925492577646362*a(n-64) +42307691654749212814*a(n-65) -87667861780195866795*a(n-66) +112777781579806352778*a(n-67) -86252893757386633722*a(n-68) +40265792024892284450*a(n-69) -12523858473335103192*a(n-70) +3355339926480594462*a(n-71) +1526103470234300788*a(n-72) -5906562063953458748*a(n-73) +7399932715584153552*a(n-74) -6230002360541897376*a(n-75) +4267803461726343348*a(n-76) -2508269363514508732*a(n-77) +1253222086174352932*a(n-78) -552940086186941232*a(n-79) +232632971015703136*a(n-80) -88846902177537432*a(n-81) +27040307350872744*a(n-82) -7725921318570888*a(n-83) +3318492637642576*a(n-84) -1714149297968432*a(n-85) +895546747835424*a(n-86) -412459521348608*a(n-87) +88683345791776*a(n-88) +21397233103488*a(n-89) -13340602081088*a(n-90) -85940586816*a(n-91) +980686888768*a(n-92) -98208479360*a(n-93) -23853444736*a(n-94) +4072386944*a(n-95) -65899520*a(n-96) -62484480*a(n-97) -1447936*a(n-98) for n>104

EXAMPLE

Some solutions for n=4

..0..3..2..0....1..2..2..0....2..2..1..1....3..0..0..3....0..1..0..0

..2..0..3..1....3..2..3..1....2..1..0..0....1..3..1..0....1..0..1..1

..1..2..2..3....0..3..0..2....0..0..0..0....0..1..2..2....0..3..1..2

..1..2..3..1....1..0..1..0....0..0..0..0....1..0..2..3....1..1..2..2

..3..0..1..3....1..3..0..1....0..0..0..0....1..2..0..2....3..2..2..3

CROSSREFS

Sequence in context: A226001 A096329 A126823 * A014885 A252217 A351448

Adjacent sequences:  A205089 A205090 A205091 * A205093 A205094 A205095

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 22 2012

STATUS

approved

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Last modified May 27 09:28 EDT 2022. Contains 354096 sequences. (Running on oeis4.)