A204403 Number of (n+2)X5 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally

719125, 3588983, 18913491, 316877238, 3226550173, 30090522927, 390091281543, 3739587364093, 35700135524085, 430396443239391, 4215628540931881, 41854543587242778, 480187022716910187, 4786573448752414177

Offset

1,1

Comments

Column 3 of A204408

Links

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

Formula

Empirical: a(n) = 1459*a(n-3) +2005*a(n-4) +5400*a(n-5) -511983*a(n-6) -1248838*a(n-7) -1399749*a(n-8) +714762*a(n-9) +64262745*a(n-10) -147857412*a(n-11) +251846532*a(n-12) -898658109*a(n-13) -4733939358*a(n-14) -2831865048*a(n-15) +7404357366*a(n-16) +221982268293*a(n-17) +681710954976*a(n-18) -191718197217*a(n-19) -702787962357*a(n-20) -9464665101327*a(n-21) -21327262323174*a(n-22) -12439488171807*a(n-23) +17401336363530*a(n-24) +173135554697358*a(n-25) +62875002085893*a(n-26) +739166217068862*a(n-27) -1794712074525432*a(n-28) +518290728291603*a(n-29) -1393222841384400*a(n-30) -4758624497858445*a(n-31) +10605653860693770*a(n-32) -3711161088195165*a(n-33) -10097972890933716*a(n-34) +17983076076034920*a(n-35) -10063266444531900*a(n-36) +13345831710390708*a(n-37) +724214043336384*a(n-38) +1106192820250656*a(n-39) +1633359467214000*a(n-40) +2807101976072148*a(n-41) +94282898917428*a(n-42) +432804359972160*a(n-43) -178344286971840*a(n-44) -3703931193600*a(n-46) for n>50

Example

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

Crossrefs

Sequence in context: A102501 A301643 A252887 * A250372 A015346 A190932

Adjacent sequences: A204400 A204401 A204402 * A204404 A204405 A204406

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved