login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 14 2014
STATUS
approved