A234415 Number of (n+1)X(2+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

550, 5606, 56768, 576798, 5868488, 59776664, 609452862, 6218451874, 63489735426, 648575484412, 6628546993702, 67771690732064, 693149217934916, 7091428068337454, 72569209027653194, 742794118635299090

Offset

1,1

Comments

Column 2 of A234421

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -369*a(n-2) +1673*a(n-3) -571*a(n-4) -14714*a(n-5) +17158*a(n-6) +49278*a(n-7) -48443*a(n-8) -82676*a(n-9) +36495*a(n-10) +61437*a(n-11) +3223*a(n-12) -8282*a(n-13) -92*a(n-14) +420*a(n-15) -40*a(n-16)

Example

Some solutions for n=3
..6..7..7....3..4..4....5..4..4....6..6..6....6..6..5....4..4..4....1..1..1
..6..6..7....3..4..4....5..4..4....6..5..6....6..6..6....4..4..4....0..0..0
..6..6..6....4..4..3....4..5..4....6..5..5....6..6..7....4..4..4....1..0..0
..5..5..6....4..3..4....4..4..5....5..6..5....7..7..6....3..4..3....1..1..1

Crossrefs

Sequence in context: A236723 A189502 A190075 * A285925 A285861 A034282

Adjacent sequences: A234412 A234413 A234414 * A234416 A234417 A234418

Keyword

nonn

Author

R. H. Hardin, Dec 25 2013

Status

approved