A253311 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

157476, 214676, 1547188, 2643738, 16534784, 53883500, 300393602, 1497743060, 8035298482, 45266774466, 241316843208, 1391655422404, 7413686922900, 42921707803250, 228637291518078, 1324593318241030, 7055545301565708

Offset

1,1

Comments

Column 5 of A253314

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +67*a(n-2) -221*a(n-3) -1705*a(n-4) +3766*a(n-5) +24361*a(n-6) -25780*a(n-7) -238558*a(n-8) +83102*a(n-9) +1868040*a(n-10) -372421*a(n-11) -13197408*a(n-12) +472971*a(n-13) +82477323*a(n-14) +38351344*a(n-15) -404587678*a(n-16) -408299522*a(n-17) +1469464881*a(n-18) +2135255996*a(n-19) -4201285211*a(n-20) -8163564407*a(n-21) +10687359918*a(n-22) +28536815020*a(n-23) -24274016201*a(n-24) -91101166968*a(n-25) +39551202432*a(n-26) +251885946474*a(n-27) +3883996008*a(n-28) -575621103114*a(n-29) -284779663542*a(n-30) +978703356996*a(n-31) +814744669662*a(n-32) -1294671181824*a(n-33) -1005542860752*a(n-34) +1789131211488*a(n-35) +853171784028*a(n-36) -1851793130952*a(n-37) -979745778576*a(n-38) +408330710928*a(n-39) +857804945472*a(n-40) +438949375776*a(n-41) -1146222761328*a(n-42) -637951539168*a(n-43) +542336878944*a(n-44) +312767593920*a(n-45) +460412138880*a(n-46) +139057088256*a(n-47) -529411603968*a(n-48) -196091808768*a(n-49) +146932807680*a(n-50) +58773123072*a(n-51) for n>69

Example

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

Crossrefs

Sequence in context: A245681 A278862 A250595 * A253659 A253729 A034210

Adjacent sequences: A253308 A253309 A253310 * A253312 A253313 A253314

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved