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A198151 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,1,1 for x=0,1,2,3,4 1
3, 31, 240, 2093, 17991, 145266, 1255491, 10755887, 91079908, 776489747, 6609595197, 56225308358, 478661740841, 4073710243375, 34669903065204, 295087373696575, 2511459871139255, 21374984840018414, 181923479457037295 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Column 4 of A198155

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +19*a(n-2) +215*a(n-3) +493*a(n-4) +1931*a(n-5) +3822*a(n-6) +14863*a(n-7) +53391*a(n-8) +59881*a(n-9) -44665*a(n-10) -606701*a(n-11) -531721*a(n-12) +754172*a(n-13) +1654999*a(n-14) +88763*a(n-15) -8899088*a(n-16) +56487347*a(n-17) +33713935*a(n-18) -195101579*a(n-19) -835644817*a(n-20) -1222092972*a(n-21) -384895208*a(n-22) -1499680962*a(n-23) -4548255109*a(n-24) -1187518671*a(n-25) +22394431171*a(n-26) +45874038279*a(n-27) +70468137444*a(n-28) +66467551167*a(n-29) +182834116358*a(n-30) +213071389181*a(n-31) +35069790651*a(n-32) -596050420629*a(n-33) -820918617151*a(n-34) -568379316038*a(n-35) -1337738842622*a(n-36) -4170683464048*a(n-37) -2857113090412*a(n-38) +3258528740316*a(n-39) +5139669782763*a(n-40) +1423650593426*a(n-41) +2417061795406*a(n-42) +16373388595260*a(n-43) +6229857910685*a(n-44) -14352617701078*a(n-45) -13343104151057*a(n-46) +4733782059003*a(n-47) +14650928471763*a(n-48) +7606304708860*a(n-49) -20757344339853*a(n-50) -18601394110594*a(n-51) -14811322684876*a(n-52) -24831308413452*a(n-53) +70288332187274*a(n-54) +102698116881505*a(n-55) +102637886654373*a(n-56) +58205211418903*a(n-57) +14981753181264*a(n-58) -9471522440753*a(n-59) -65152081821619*a(n-60) -67386811779413*a(n-61) -14280598303742*a(n-62) -4164203467557*a(n-63) -16952477807055*a(n-64) +21263495801082*a(n-65) -9494994500109*a(n-66) +5794594349253*a(n-67) +7062476538316*a(n-68) -3901964319450*a(n-69) +3167529711093*a(n-70) -595913303538*a(n-71) +28406197864*a(n-72) +131439655334*a(n-73) -153735493406*a(n-74) -4532595094*a(n-75) -4153243215*a(n-76) -605323037*a(n-77) -1514492735*a(n-78) +802546906*a(n-79) +252828568*a(n-80) +20748509*a(n-81) +3426977*a(n-82) -272736*a(n-83) -4160*a(n-84)

EXAMPLE

Some solutions containing all values 0 to 4 for n=5

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

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

..0..1..4..1....0..1..4..1....1..4..1..0....0..1..4..1....0..0..1..3

..1..3..1..0....2..3..1..0....3..1..2..0....1..3..1..0....0..1..4..1

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

CROSSREFS

Sequence in context: A342260 A121147 A114654 * A197231 A334980 A111400

Adjacent sequences:  A198148 A198149 A198150 * A198152 A198153 A198154

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 21 2011

STATUS

approved

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Last modified June 29 23:00 EDT 2022. Contains 354913 sequences. (Running on oeis4.)