A234416 Number of (n+1)X(3+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

2848, 56768, 1131708, 22692600, 455740110, 9162597900, 184360780592, 3711992019408, 74780929646602, 1507252891403182, 30392407585661996, 613062461820019164, 12370452071355682398, 249684257042499386428

Offset

1,1

Comments

Column 3 of A234421

Links

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

Formula

Empirical: a(n) = 80*a(n-1) -2535*a(n-2) +39140*a(n-3) -267047*a(n-4) -90703*a(n-5) +11322963*a(n-6) -38431717*a(n-7) -164429032*a(n-8) +964710209*a(n-9) +1210583468*a(n-10) -11527909460*a(n-11) -6226317300*a(n-12) +82270310797*a(n-13) +37494868160*a(n-14) -366266827501*a(n-15) -225932776277*a(n-16) +982892096712*a(n-17) +846778463179*a(n-18) -1461255829780*a(n-19) -1703433866298*a(n-20) +990610939631*a(n-21) +1713904091128*a(n-22) -111364070116*a(n-23) -780603825220*a(n-24) -87686854448*a(n-25) +185011265048*a(n-26) +29266932212*a(n-27) -24972987476*a(n-28) -3056686348*a(n-29) +1944866328*a(n-30) +55993536*a(n-31) -71184960*a(n-32) +5702400*a(n-33)

Example

Some solutions for n=2
..4..4..4..5....4..4..4..4....2..2..1..1....2..1..2..2....7..7..6..7
..4..4..5..4....5..5..5..5....1..2..1..2....1..1..1..1....7..6..7..7
..4..5..4..5....4..5..4..5....2..2..2..1....2..2..2..1....6..7..7..7

Crossrefs

Sequence in context: A257155 A257148 A254737 * A218597 A259296 A020429

Adjacent sequences: A234413 A234414 A234415 * A234417 A234418 A234419

Keyword

nonn

Author

R. H. Hardin, Dec 25 2013

Status

approved