A252145 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

14578, 5511, 9443, 8391, 18757, 16958, 44234, 36963, 101771, 83289, 245182, 191088, 595263, 447379, 1472751, 1077415, 3674855, 2624162, 9274947, 6472339, 23552909, 16189347, 60172846, 40822352, 154579992, 103680895, 398494810, 265238393

Offset

1,1

Comments

Column 5 of A252148

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +3*a(n-3) +a(n-4) -9*a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) +3*a(n-9) -8*a(n-10) +27*a(n-11) +3*a(n-12) +27*a(n-13) +2*a(n-14) -12*a(n-15) -33*a(n-17) +a(n-18) -27*a(n-19) +6*a(n-20) +9*a(n-21) +8*a(n-22) +15*a(n-23) -2*a(n-24) +3*a(n-25) -5*a(n-26) -3*a(n-27) -a(n-28) +a(n-30) for n>38

Example

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

Crossrefs

Sequence in context: A202489 A213810 A247716 * A249082 A175972 A175973

Adjacent sequences: A252142 A252143 A252144 * A252146 A252147 A252148

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved