A251949 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

12344, 14434, 47034, 177132, 875435, 3678858, 14138322, 70829204, 294856410, 1132100600, 5720636445, 23687141361, 90900692009, 462774737917, 1906148073563, 7312836167224, 37500163312746, 153668705714219

Offset

1,1

Comments

Column 7 of A251950

Links

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

Formula

Empirical: a(n) = 154*a(n-3) -5851*a(n-6) +20097*a(n-9) -2014075*a(n-12) +7661518*a(n-15) -279463775*a(n-18) +1535608544*a(n-21) -24406354757*a(n-24) +118022364813*a(n-27) -1198422975794*a(n-30) +5253067376608*a(n-33) -26520258978850*a(n-36) +18073989300491*a(n-39) +96342732311249*a(n-42) -85995203746185*a(n-45) -170686132175553*a(n-48) +197348338065285*a(n-51) +96194105455683*a(n-54) -229576602578095*a(n-57) +33338181294725*a(n-60) +167708446768799*a(n-63) -48354669647692*a(n-66) -78886922607089*a(n-69) +8621638722623*a(n-72) +14516483555412*a(n-75) +3607004446108*a(n-78) +110670492672*a(n-81) +5285524456*a(n-84) +3437744880*a(n-87) -46166400*a(n-90) for n>95

Example

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

Crossrefs

Sequence in context: A184472 A371833 A350153 * A178475 A104972 A193493

Adjacent sequences: A251946 A251947 A251948 * A251950 A251951 A251952

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved