A233898 Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 35

656, 2944, 12152, 62064, 278416, 1521520, 7123728, 40312912, 192972032, 1110694824, 5379964888, 31200431816, 152157236872, 884893854040, 4334249058400, 25217788360240, 123909677614064, 720428921323016

Offset

1,1

Comments

Column 2 of A233903

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +100*a(n-2) -653*a(n-3) -3922*a(n-4) +29350*a(n-5) +75333*a(n-6) -716686*a(n-7) -663724*a(n-8) +10557778*a(n-9) -189287*a(n-10) -98135157*a(n-11) +62654351*a(n-12) +580526450*a(n-13) -642463362*a(n-14) -2125031984*a(n-15) +3275337984*a(n-16) +4379131280*a(n-17) -9343912016*a(n-18) -3557715392*a(n-19) +14269816000*a(n-20) -2397660416*a(n-21) -9497517824*a(n-22) +4983344128*a(n-23) +925209600*a(n-24) -965386240*a(n-25) +130457600*a(n-26)

Example

Some solutions for n=4
..6..4..0....6..3..0....1..4..6....4..5..4....6..2..0....4..2..4....3..4..6
..3..2..3....4..2..4....0..2..5....2..6..2....4..3..4....5..6..3....0..2..3
..1..5..1....6..5..6....3..4..6....4..5..4....0..2..6....4..2..4....3..4..6
..3..4..3....4..2..4....6..2..3....6..2..6....4..3..4....3..0..1....0..2..5
..5..1..5....0..3..6....5..4..0....5..4..5....0..2..0....4..2..4....1..4..6

Crossrefs

Sequence in context: A252672 A252679 A252680 * A088894 A015277 A135418

Adjacent sequences: A233895 A233896 A233897 * A233899 A233900 A233901

Keyword

nonn

Author

R. H. Hardin, Dec 17 2013

Status

approved