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A197541
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Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,2,1,1,1 for x=0,1,2,3,4
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1
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3, 19, 24, 131, 206, 834, 2081, 6653, 15931, 48796, 135249, 391078, 1061878, 3054971, 8582689, 24243393, 67728862, 192162581, 541573358, 1525969004, 4291400929, 12116692925, 34147187837, 96210697228, 271054147869, 764411232314
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OFFSET
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1,1
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COMMENTS
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Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) +7*a(n-2) -14*a(n-3) -7*a(n-4) +40*a(n-5) -27*a(n-6) +27*a(n-7) +109*a(n-8) -1131*a(n-9) -682*a(n-10) +5832*a(n-11) -302*a(n-12) -15793*a(n-13) +10796*a(n-14) +26552*a(n-15) -9592*a(n-16) -54794*a(n-17) -65338*a(n-18) +161498*a(n-19) +192943*a(n-20) -209955*a(n-21) -329504*a(n-22) -35891*a(n-23) +626888*a(n-24) +8303*a(n-25) -624179*a(n-26) +346017*a(n-27) -201978*a(n-28) +897796*a(n-29) -654490*a(n-30) -1864676*a(n-31) +3767465*a(n-32) -1840154*a(n-33) -2178898*a(n-34) +4365803*a(n-35) -4227708*a(n-36) +1275734*a(n-37) +763034*a(n-38) -2336201*a(n-39) +2085583*a(n-40) +113233*a(n-41) -1187876*a(n-42) -428063*a(n-43) +2589233*a(n-44) -1866000*a(n-45) -489531*a(n-46) +1622870*a(n-47) -892532*a(n-48) +155171*a(n-49) -471*a(n-50) -1098*a(n-51)
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=5
..0..1..2..1....2..1..3..1....1..0..1..2....0..1..2..1....0..1..2..1
..1..3..2..1....1..4..1..2....2..1..4..1....1..3..2..1....1..3..2..1
..2..1..1..3....3..1..1..2....2..1..1..3....2..1..1..0....2..1..1..3
..2..1..4..1....1..2..3..1....1..3..2..1....2..1..4..1....2..1..4..1
..1..3..1..2....1..2..1..0....0..1..2..1....1..0..1..2....1..0..1..2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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