A253979 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally and vertically

3372, 36434, 417518, 4858102, 55806952, 642845877, 7415403315, 85480006244, 985444143538, 11361747566006, 130991488743058, 1510223810043470, 17411755136338197, 200744247407994048, 2314427455666140644

Offset

1,1

Comments

Column 2 of A253985

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -7*a(n-2) -43*a(n-3) -860*a(n-4) -920*a(n-5) +15830*a(n-6) -9400*a(n-7) -7539*a(n-8) -98847*a(n-9) +40329*a(n-10) +147709*a(n-11) +83340*a(n-12) +421956*a(n-13) -537724*a(n-14) +204762*a(n-15) -1909934*a(n-16) -520990*a(n-17) +1344182*a(n-18) -2472492*a(n-19) +10604787*a(n-20) +1923137*a(n-21) -6305887*a(n-22) -1207655*a(n-23) -18037820*a(n-24) +3466634*a(n-25) +11862724*a(n-26) +5340110*a(n-27) +12134681*a(n-28) -11925689*a(n-29) -8047471*a(n-30) +1011577*a(n-31) -3455262*a(n-32) +6530290*a(n-33) +1826872*a(n-34) -3037352*a(n-35) +578112*a(n-36) +205440*a(n-37) -198848*a(n-38) +22784*a(n-39) +10496*a(n-40) -1024*a(n-41)

Example

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

Crossrefs

Sequence in context: A248443 A254391 A254384 * A139779 A031626 A117921

Adjacent sequences: A253976 A253977 A253978 * A253980 A253981 A253982

Keyword

nonn

Author

R. H. Hardin, Jan 21 2015

Status

approved