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A205516 Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor 1

%I

%S 7572,122232,2343348,44160240,825828828,15535355076,291860355624,

%T 5480789967924,102961205438196,1934055528917952,36329184190688802,

%U 682418545352937906,12818683603774987476,240788570432946987510

%N Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor

%C Column 4 of A205520

%H R. H. Hardin, <a href="/A205516/b205516.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +58*a(n-2) +1410*a(n-3) +7163*a(n-4) +65793*a(n-5) +205637*a(n-6) +132235*a(n-7) +280626*a(n-8) -730704*a(n-9) +2679798*a(n-10) +8582778*a(n-11) -91684*a(n-12) +85261360*a(n-13) +321541259*a(n-14) +569443623*a(n-15) -732138925*a(n-16) -3664354834*a(n-17) +2203501471*a(n-18) -3753935283*a(n-19) -25922521769*a(n-20) -7334244007*a(n-21) -6317048901*a(n-22) +125898111939*a(n-23) +260238638290*a(n-24) +372802067843*a(n-25) +361274637040*a(n-26) -752682455700*a(n-27) -841898472719*a(n-28) -5074150622769*a(n-29) -1537943064308*a(n-30) -3735802052062*a(n-31) -4121472351844*a(n-32) +3872179025515*a(n-33) +20325772376636*a(n-34) -3524272470091*a(n-35) +9990833813224*a(n-36) +18538546805197*a(n-37) +31762981582390*a(n-38) +580882796102*a(n-39) -1207153629309*a(n-40) +81189313831926*a(n-41) -46547738884143*a(n-42) -42650902708584*a(n-43) -42602026330041*a(n-44) +84617727779089*a(n-45) -65946879086084*a(n-46) -60168443523097*a(n-47) -61814707076290*a(n-48) +26318484935886*a(n-49) +38754376314567*a(n-50) +27308069650872*a(n-51) -35314376277998*a(n-52) +12032327278080*a(n-53) +40108416929074*a(n-54) +111092495193695*a(n-55) -109866586682936*a(n-56) +145579921842545*a(n-57) -220346501355435*a(n-58) +151438668417153*a(n-59) -75996652811792*a(n-60) +22221513244964*a(n-61) -24986956093364*a(n-62) -39367240144691*a(n-63) +15039284979443*a(n-64) -2019472883152*a(n-65) +3532471439516*a(n-66) -8442802493012*a(n-67) -1631149642803*a(n-68) -1042203843201*a(n-69) +2412205601461*a(n-70) -1006682224604*a(n-71) -707831646116*a(n-72) -118260311594*a(n-73) -242779781986*a(n-74) +126081837785*a(n-75) -156519033074*a(n-76) -94405903653*a(n-77) -13495086885*a(n-78) -12778438805*a(n-79) +1785930579*a(n-80) -1583922542*a(n-81) -2154831758*a(n-82) +157351877*a(n-83) +46791613*a(n-84) -72730759*a(n-85) -3581632*a(n-86) +1056649*a(n-87) -433266*a(n-88) -39689*a(n-89) +27602*a(n-90) +2705*a(n-91) -74*a(n-92) for n>93

%e Some solutions for n=4

%e ..1..1..1..1..1....1..1..0..2..1....0..0..1..1..2....2..1..1..1..0

%e ..0..0..2..1..1....2..2..1..1..2....0..1..2..1..0....1..2..0..2..2

%e ..2..1..1..0..0....1..0..0..2..2....2..1..1..2..2....1..1..0..1..0

%e ..2..1..1..2..1....0..0..0..1..0....0..0..2..2..2....1..1..2..1..2

%e ..0..2..0..1..1....2..1..2..1..1....2..1..2..2..0....2..2..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 28 2012

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Last modified February 4 07:13 EST 2023. Contains 360046 sequences. (Running on oeis4.)