A250836 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference

2011, 51105, 1301955, 33244665, 849027611, 21682326473, 553718971855, 14140848207813, 361129133233787, 9222524493218413, 235525082124253811, 6014846265624457797, 153607318512153551663, 3922828184761734155385

Offset

1,1

Comments

Column 3 of A250841

Links

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

Formula

Empirical: a(n) = 61*a(n-1) -1470*a(n-2) +19787*a(n-3) -170809*a(n-4) +991976*a(n-5) -3713053*a(n-6) +6616739*a(n-7) +11490609*a(n-8) -99464486*a(n-9) +205734801*a(n-10) +122438873*a(n-11) -1485943225*a(n-12) +3033549790*a(n-13) -1789266403*a(n-14) -3556277194*a(n-15) +8728569971*a(n-16) -8222271838*a(n-17) +2970903256*a(n-18) +1231288138*a(n-19) -1737010178*a(n-20) +565537332*a(n-21) +117725104*a(n-22) -140920256*a(n-23) +40160256*a(n-24) -4325376*a(n-25)

Example

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

Crossrefs

Sequence in context: A249955 A020433 A191421 * A076666 A323470 A309918

Adjacent sequences: A250833 A250834 A250835 * A250837 A250838 A250839

Keyword

nonn

Author

R. H. Hardin, Nov 27 2014

Status

approved