A234120 Number of (n+1)X(6+1) 0..2 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

67489, 10041953, 1458813409, 214027901025, 31446640848897, 4625943683805313, 680845368964238145, 100232847106041668353, 14757962542814417545441, 2173049645779146516000801, 319982366490305655551327777

Offset

1,1

Comments

Column 6 of A234122

Links

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

Formula

Empirical: a(n) = 261*a(n-1) -18560*a(n-2) +127208*a(n-3) +23755242*a(n-4) -406238978*a(n-5) -11768024848*a(n-6) +211536189168*a(n-7) +3167620020453*a(n-8) -43174324632265*a(n-9) -498144039526280*a(n-10) +3974314857666608*a(n-11) +43883259123774428*a(n-12) -167685268616512940*a(n-13) -2040900846762609856*a(n-14) +3445445946343381888*a(n-15) +52296679884037531065*a(n-16) -35833370093864352573*a(n-17) -776126649677016939696*a(n-18) +226412171176325558120*a(n-19) +6916149301019844647706*a(n-20) -1682665179571062843826*a(n-21) -37312103086122262303664*a(n-22) +14659167338730178934224*a(n-23) +117646777156101371452739*a(n-24) -76253461020753171154783*a(n-25) -192817994631326898576392*a(n-26) +189380280584489465020224*a(n-27) +110172317785328612275008*a(n-28) -187529085888044105270592*a(n-29) +38102718853877138892864*a(n-30) +32573701148082394908672*a(n-31) -13221821267594299551744*a(n-32) -630264421714516770816*a(n-33) +672250225845986131968*a(n-34) -28475524214125756416*a(n-35)

Example

Some solutions for n=1
..0..0..0..1..1..2..2....1..2..2..1..2..2..1....1..1..1..1..1..2..1
..1..0..1..1..2..1..1....1..1..2..1..2..1..2....1..0..0..1..2..2..1

Crossrefs

Sequence in context: A226529 A198537 A249208 * A101697 A247221 A224655

Adjacent sequences: A234117 A234118 A234119 * A234121 A234122 A234123

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved