A251898 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5

1652, 2596, 3312, 5264, 9208, 16532, 23868, 39884, 71752, 133166, 215372, 385436, 645120, 1175522, 1992664, 3630592, 6053132, 11027640, 18589076, 33876216, 57036688, 104047908, 174874732, 318791492, 537411108, 979946108, 1650420932

Offset

1,1

Comments

Column 1 of A251905

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +2*a(n-3) +9*a(n-4) -10*a(n-5) -a(n-6) -36*a(n-7) -33*a(n-8) +10*a(n-9) +9*a(n-10) +153*a(n-11) +118*a(n-12) +103*a(n-13) -44*a(n-14) -277*a(n-15) -339*a(n-16) -323*a(n-17) -38*a(n-18) +308*a(n-19) +458*a(n-20) +453*a(n-21) +179*a(n-22) -164*a(n-23) -310*a(n-24) -306*a(n-25) -144*a(n-26) +4*a(n-27) +74*a(n-28) +92*a(n-29) +40*a(n-30) +10*a(n-31) +18*a(n-32) -12*a(n-34) -4*a(n-35) for n>45

Example

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

Crossrefs

Sequence in context: A154075 A251897 A251905 * A250929 A054809 A236042

Adjacent sequences: A251895 A251896 A251897 * A251899 A251900 A251901

Keyword

nonn

Author

R. H. Hardin, Dec 10 2014

Status

approved