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A196927 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,4,3,2,0 for x=0,1,2,3,4 1
1, 1, 8, 41, 231, 1242, 6755, 36867, 201212, 1098095, 5993391, 32711128, 178534697, 974427409, 5318345776, 29027097867, 158427548077, 864684706754, 4719379039897, 25757988200535, 140585011520434, 767301596266893 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

Column 6 of A196929

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +13*a(n-2) -17*a(n-3) -59*a(n-4) +3*a(n-5) +425*a(n-6) -1112*a(n-7) -6995*a(n-8) +390*a(n-9) +32809*a(n-10) +37872*a(n-11) -76231*a(n-12) -142044*a(n-13) +334688*a(n-14) +536601*a(n-15) -999256*a(n-16) -2034055*a(n-17) +824069*a(n-18) +4161052*a(n-19) -1571048*a(n-20) -9485247*a(n-21) +5285533*a(n-22) +24387804*a(n-23) +3644692*a(n-24) -33373594*a(n-25) -14533930*a(n-26) +53936710*a(n-27) +12877417*a(n-28) -122025662*a(n-29) -73215443*a(n-30) +138311721*a(n-31) +173958606*a(n-32) -105922520*a(n-33) -211722277*a(n-34) +196479355*a(n-35) +285909383*a(n-36) -244025894*a(n-37) -738298813*a(n-38) -332198539*a(n-39) +680782681*a(n-40) +361611854*a(n-41) -161838349*a(n-42) +481075512*a(n-43) +1521098749*a(n-44) +1792987944*a(n-45) -617119104*a(n-46) -2012755036*a(n-47) -324187683*a(n-48) -1091474809*a(n-49) -2104926496*a(n-50) -2295104905*a(n-51) -1506562673*a(n-52) +2206317678*a(n-53) +1061745197*a(n-54) -48175584*a(n-55) +3002509877*a(n-56) +2407422984*a(n-57) +611077418*a(n-58) +369093437*a(n-59) -1887336394*a(n-60) -1771498149*a(n-61) +473120340*a(n-62) +139548491*a(n-63) +360755542*a(n-64) +1400078116*a(n-65) +686210367*a(n-66) -477372760*a(n-67) -957375036*a(n-68) -1375300189*a(n-69) -963896128*a(n-70) +226229674*a(n-71) +485814448*a(n-72) +258859820*a(n-73) +209509016*a(n-74) +24477122*a(n-75) +56945559*a(n-76) +135191588*a(n-77) +16751561*a(n-78) -32853995*a(n-79) -31668648*a(n-80) -28670304*a(n-81) -5122566*a(n-82) -681125*a(n-83) -3876348*a(n-84) -1945160*a(n-85) -325320*a(n-86) +573904*a(n-87) +689232*a(n-88) +445248*a(n-89) +174048*a(n-90) +45696*a(n-91) -4608*a(n-93)

EXAMPLE

Some solutions for n=4

..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

..0..4..0..4..0..0....0..0..4..0..0..0....0..0..0..0..0..0....0..0..0..0..4..0

..0..0..0..0..0..0....0..4..0..0..4..0....0..0..0..4..0..0....0..0..0..4..0..0

..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

CROSSREFS

Sequence in context: A209822 A051737 A209841 * A188209 A026953 A280068

Adjacent sequences:  A196924 A196925 A196926 * A196928 A196929 A196930

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 07 2011

STATUS

approved

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Last modified August 5 04:03 EDT 2021. Contains 346457 sequences. (Running on oeis4.)