A205583 -id:A205583 - cp's OEIS frontend

A205753 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

14, 48, 74, 175, 284, 413, 677, 1074, 1936, 2268, 2709, 4256, 8926, 12384, 12574, 11143, 16986, 45985, 63838, 82992, 69338, 46709, 68692, 240448, 383290, 507035, 542718, 383440, 198483, 279504, 1320659, 2244622, 3869807, 3797920, 3602578

Offset: 1

R. H. Hardin Jan 30 2012

Table starts
......14.......48.......175........677........2709........11143.........46709
......74......284......1074.......4256.......16986........68692........279504
.....413.....1936......8926......45985......240448......1320659.......7401826
....2268....12384.....63838.....383290.....2244622.....14131118......88143754
...12574....82992....507035....3869807....28155907....233316016....1885888870
...69338...542718...3797920...34977686...292986186...2917623614...26828234464
..383440..3602578..29561841..341919297..3496020388..45262306396..528507252157
.2117054.23691830.224378004.3167656992.37842800738.599332178604.8142071823898

			Some solutions for n=4 k=3
..0..1..2..1....0..0..0..0....0..1..0..2....0..0..0..1....0..1..0..2
..1..1..1..1....0..0..0..0....2..0..1..0....2..2..0..0....2..2..0..1
..2..0..2..0....2..1..2..1....1..0..2..2....0..1..1..2....2..0..0..1
..1..2..0..1....2..1..1..1....0..0..2..0....1..1..2..2....2..1..2..1
..2..2..0..0....2..0..2..0....2..1..1..1....2..0..0..1....1..2..0..2

R. H. Hardin, Table of n, a(n) for n = 1..142

Column 1 is A205583.

Row 1 is A205468.

cp's OEIS Frontend

A205753 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

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