A253363 - OEIS

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A253363

Number of (n+2)X(4+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

976, 1536, 5280, 8904, 23936, 53128, 112864, 286888, 563680, 1423176, 2930016, 6871944, 15255904, 33827528, 78045536, 171672968, 393400928, 883617736, 1976015712, 4530604552, 9969715808, 23004361288, 50570530144, 116107771016

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

OFFSET

1,1

COMMENTS

Column 4 of A253367

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-2) -32*a(n-4) +60*a(n-6) +4*a(n-8) +16*a(n-10) -32*a(n-12) +16*a(n-14) for n>16

EXAMPLE

Some solutions for n=4

..0..1..0..0..0..0....0..1..0..1..0..0....1..0..1..0..1..0....0..1..1..1..1..1

..1..0..0..0..1..0....1..0..0..0..0..0....0..0..0..0..0..0....0..0..1..0..1..0

..0..1..0..1..0..0....0..1..0..1..0..1....1..0..1..0..1..0....1..1..1..1..0..1

..1..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..1....1..0..1..0..1..1

..0..0..0..1..0..1....1..1..0..1..0..1....0..0..1..0..1..0....1..1..1..1..0..1

..1..0..1..0..0..0....1..0..0..0..0..0....1..1..0..0..0..1....1..0..1..0..1..1

CROSSREFS

Sequence in context: A251838 A251845 A254072 * A253907 A233984 A205252

Adjacent sequences: A253360 A253361 A253362 * A253364 A253365 A253366

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2014

STATUS

approved