A256023 - OEIS

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A256023

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1

68, 164, 484, 1302, 3500, 9820, 27424, 76068, 212126, 592302, 1651552, 4606638, 12854658, 35865050, 100061478, 279186256, 778969128, 2173402654, 6064060764, 16919528420, 47207600896, 131715146500, 367502127158, 1025377787750

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

OFFSET

1,1

COMMENTS

Column 2 of A256029

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-2) +5*a(n-3) -9*a(n-4) -5*a(n-5) -3*a(n-6) +7*a(n-7) +7*a(n-8) +4*a(n-9) -3*a(n-10) -2*a(n-11) -2*a(n-12)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Cf. A256029

Sequence in context: A063341 A118214 A211687 * A044400 A044781 A317807

Adjacent sequences: A256020 A256021 A256022 * A256024 A256025 A256026

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 13 2015

STATUS

approved