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A196693 Number of n X 5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4. 1
6, 101, 2025, 30971, 546956, 9357578, 155701871, 2639528950, 44828048153, 758613680168, 12846211728943, 217575496074187, 3684345603278538, 62394309228790776, 1056662398209397764, 17894419295053374921 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's.

Column 5 of A196696.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) +99*a(n-2) +1457*a(n-3) +9403*a(n-4) +63756*a(n-5) +357501*a(n-6) +1266686*a(n-7) -2806107*a(n-8) -37504219*a(n-9) -52816612*a(n-10) +284600884*a(n-11) +608574704*a(n-12) -1758247274*a(n-13) -3240350563*a(n-14) +14067803642*a(n-15) +28613309971*a(n-16) -74415026851*a(n-17) -292606387877*a(n-18) -232080152860*a(n-19) +220716379477*a(n-20) +1200964116914*a(n-21) +3224866259108*a(n-22) -4081494502440*a(n-23) -11973018060769*a(n-24) +57750301112302*a(n-25) +64994592796582*a(n-26) -176094726239414*a(n-27) +128428948649013*a(n-28) +349596197669142*a(n-29) -676608541033668*a(n-30) +571011235127576*a(n-31) +732662727596104*a(n-32) -1867605875361418*a(n-33) +1098620430908529*a(n-34) +729337450637797*a(n-35) -2460114152080533*a(n-36) +2320169067973831*a(n-37) -578688039878398*a(n-38) -1850127495917564*a(n-39) +3256201299846697*a(n-40) -2242404254775190*a(n-41) +239518053420766*a(n-42) +3242833627304347*a(n-43) -3202037208233939*a(n-44) +1560887656498242*a(n-45) +2289446429188348*a(n-46) -3122178210606850*a(n-47) +2522784505513690*a(n-48) +1058504642013275*a(n-49) -2397123007331473*a(n-50) +1514305381853301*a(n-51) +660596800341181*a(n-52) -1354172437205951*a(n-53) +484454350978272*a(n-54) +130974014717680*a(n-55) -523966320928093*a(n-56) +77346636154184*a(n-57) -57042478174648*a(n-58) -143942562551696*a(n-59) -19803626096318*a(n-60) -38299882227063*a(n-61) -32306742655148*a(n-62) -9258016025776*a(n-63) -6884273687531*a(n-64) -3952840580473*a(n-65) -992272128584*a(n-66) -505452862675*a(n-67) -327483373763*a(n-68) -53285421476*a(n-69) +15870369165*a(n-70) +5726967535*a(n-71) -623386478*a(n-72) -173219394*a(n-73) +413355189*a(n-74) +328036807*a(n-75) +89861438*a(n-76) +1940233*a(n-77) -3622754*a(n-78) +526674*a(n-79) +363640*a(n-80) +66930*a(n-81) -23198*a(n-82) -5694*a(n-83) -948*a(n-84) +82*a(n-85) for n>87.

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Sequence in context: A078629 A012497 A012690 * A196726 A197066 A266683

Adjacent sequences:  A196690 A196691 A196692 * A196694 A196695 A196696

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 05 2011

STATUS

approved

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Last modified February 20 04:24 EST 2020. Contains 332063 sequences. (Running on oeis4.)