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 A234122 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1 8
 31, 145, 145, 673, 1361, 673, 3127, 12593, 12593, 3127, 14527, 116801, 231713, 116801, 14527, 67489, 1082977, 4279065, 4279065, 1082977, 67489, 313537, 10041953, 79003521, 157630963, 79003521, 10041953, 313537, 1456615, 93113761 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......31.........145.............673...............3127.................14527 ......145........1361...........12593.............116801...............1082977 ......673.......12593..........231713............4279065..............79003521 .....3127......116801.........4279065..........157630963............5807422543 ....14527.....1082977........79003521.........5807422543..........427196005695 ....67489....10041953......1458813409.......214027901025........31446640848897 ...313537....93113761.....26937444801......7888454356625......2315408571668225 ..1456615...863396401....497411686793....290756314787875....170502665692732079 ..6767071..8005833073...9184935953377..10716964158533127..12556134956123911615 .31438129.74233997105.169604155276817.395017615132720993.924677153131389366689 LINKS R. H. Hardin, Table of n, a(n) for n = 1..364 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) +3*a(n-2) k=2: a(n) = 10*a(n-1) -4*a(n-2) -26*a(n-3) +5*a(n-4) k=3: a(n) = 20*a(n-1) -10*a(n-2) -324*a(n-3) -277*a(n-4) +144*a(n-5) k=4: [order 11] k=5: [order 17] k=6: [order 35] k=7: [order 62] EXAMPLE Some solutions for n=2 k=4 ..0..1..0..0..1....0..1..2..2..2....1..2..1..2..2....0..1..0..1..2 ..1..0..1..0..1....1..1..1..1..2....1..2..2..2..2....1..0..0..1..2 ..1..1..0..0..1....1..2..2..1..2....2..1..1..1..2....0..1..0..1..1 CROSSREFS Column 1 is A086901(n+3) Sequence in context: A185521 A228261 A185513 * A142758 A124994 A126418 Adjacent sequences:  A234119 A234120 A234121 * A234123 A234124 A234125 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 19 2013 STATUS approved

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Last modified June 12 12:31 EDT 2021. Contains 344947 sequences. (Running on oeis4.)