A253979 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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