A234126 Number of (n+1)X(3+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

2413, 47933, 951709, 19007583, 380250439, 7615879723, 152668773739, 3062622875925, 61475337004953, 1234620917271949, 24806175566692573, 498600733683615435, 10025142990290536251, 201629391376355775879

Offset

1,1

Comments

Column 3 of A234131

Links

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

Formula

Empirical: a(n) = 62*a(n-1) -1377*a(n-2) +11706*a(n-3) +3232*a(n-4) -539522*a(n-5) +1362867*a(n-6) +10121999*a(n-7) -31760118*a(n-8) -116725179*a(n-9) +307724737*a(n-10) +923620665*a(n-11) -1359253203*a(n-12) -4570974318*a(n-13) +1827227267*a(n-14) +11806964282*a(n-15) +3166332198*a(n-16) -13354128233*a(n-17) -8963914586*a(n-18) +4581307330*a(n-19) +4739020728*a(n-20) -551989326*a(n-21) -1042026878*a(n-22) +26127344*a(n-23) +107962116*a(n-24) -4177212*a(n-25) -4538160*a(n-26) +475200*a(n-27)

Example

Some solutions for n=2
..5..5..6..5....2..2..1..1....4..5..4..3....2..2..3..3....1..1..2..1
..5..5..6..6....2..1..2..1....4..5..4..4....3..2..2..3....2..1..2..1
..5..6..6..6....1..1..2..1....4..5..5..5....2..3..2..2....1..2..1..1

Crossrefs

Sequence in context: A323271 A283783 A260274 * A159346 A256835 A237940

Adjacent sequences: A234123 A234124 A234125 * A234127 A234128 A234129

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved