A253309 Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

3550, 10064, 64560, 266074, 1547188, 8858020, 51974842, 316785048, 1889816848, 11520937494, 69228976028, 420338522082, 2533933878238, 15348106027014, 92666482760148, 560658619860350, 3387466997245654, 20485364481865874

Offset

1,1

Comments

Column 3 of A253314

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +37*a(n-2) -107*a(n-3) -486*a(n-4) +1018*a(n-5) +3866*a(n-6) -6206*a(n-7) -30268*a(n-8) +50703*a(n-9) +221999*a(n-10) -375260*a(n-11) -1183609*a(n-12) +1552867*a(n-13) +4427784*a(n-14) -4937769*a(n-15) -10826500*a(n-16) +22562360*a(n-17) +26189180*a(n-18) -87151773*a(n-19) -72448042*a(n-20) +306943717*a(n-21) +47064799*a(n-22) -1009281939*a(n-23) +378072841*a(n-24) +2761001674*a(n-25) -49050560*a(n-26) -6740013051*a(n-27) -3824848899*a(n-28) +13172695757*a(n-29) +14866122455*a(n-30) -24287462053*a(n-31) -32467094345*a(n-32) +73114969076*a(n-33) +67761287326*a(n-34) -151086224293*a(n-35) -163493264976*a(n-36) +141458795648*a(n-37) +256000189920*a(n-38) -28921058738*a(n-39) -179496036973*a(n-40) -27002949460*a(n-41) +34741117668*a(n-42) +862760100*a(n-43) -96042640*a(n-44) -2512546848*a(n-45) +556658720*a(n-46) +192661632*a(n-47) -84460160*a(n-48) +8505600*a(n-49) for n>55

Example

Some solutions for n=3
..0..0..0..0....0..1..2..0....2..1..0..2....1..0..1..2....1..1..1..0
..0..0..2..1....0..1..0..2....0..2..0..2....0..2..0..2....2..0..2..0
..1..2..0..0....2..0..0..0....1..0..0..0....1..1..0..1....0..0..0..1
..1..0..1..1....2..0..2..1....2..1..2..2....0..0..2..0....2..2..1..2

Crossrefs

Sequence in context: A020412 A220985 A252989 * A253657 A251040 A253727

Adjacent sequences: A253306 A253307 A253308 * A253310 A253311 A253312

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved