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A252347 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8 1
1331, 2864, 6986, 15208, 42345, 111519, 294801, 852023, 2391671, 6526332, 19388874, 55236910, 154718356, 459605140, 1324410518, 3750331025, 11134189835, 32227560268, 92034892492, 272465735794, 791324270153, 2272219351820 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A252352

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +47*a(n-3) -51*a(n-4) -204*a(n-5) -568*a(n-6) +772*a(n-7) +3088*a(n-8) -559*a(n-9) -2529*a(n-10) -10116*a(n-11) +27893*a(n-12) -17777*a(n-13) -71108*a(n-14) -50056*a(n-15) +121164*a(n-16) +484656*a(n-17) -377388*a(n-18) -107268*a(n-19) -429072*a(n-20) +1113936*a(n-21) -684864*a(n-22) -2739456*a(n-23) +944928*a(n-24) +1794528*a(n-25) +7178112*a(n-26) -5705856*a(n-27) -1472256*a(n-28) -5889024*a(n-29) +5515776*a(n-30) +373248*a(n-31) +1492992*a(n-32) -1492992*a(n-33) for n>38

EXAMPLE

Some solutions for n=4

..0..2..2..3..2....3..2..2..0..0....3..1..0..1..3....1..0..1..0..3

..1..3..0..1..0....0..2..2..3..2....1..0..1..0..1....0..1..0..1..3

..3..2..2..3..2....1..3..3..1..0....0..1..0..1..3....1..0..1..0..1

..3..2..2..3..2....3..2..2..3..2....1..0..1..0..3....0..1..0..1..3

..1..3..3..1..0....0..2..2..3..2....0..1..0..1..3....1..0..1..0..3

..3..2..2..0..2....1..0..3..1..3....1..0..1..3..3....3..1..0..1..3

CROSSREFS

Sequence in context: A252258 A038677 A202457 * A295900 A030100 A017283

Adjacent sequences:  A252344 A252345 A252346 * A252348 A252349 A252350

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 16 2014

STATUS

approved

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Last modified April 24 22:26 EDT 2019. Contains 322446 sequences. (Running on oeis4.)