A252330 - OEIS

A252330

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

10227, 9142, 22016, 63277, 214176, 632453, 1835652, 6821035, 20633429, 59088476, 219803901, 667481680, 1914981833, 7126650000, 21591653297, 61998441904, 231093549133, 698634345021, 2007471684426, 7494893397349, 22610972881760

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

OFFSET

1,1

COMMENTS

Column 4 of A252334

LINKS

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

FORMULA

Empirical: a(n) = 80*a(n-3) -2144*a(n-6) +23724*a(n-9) -158776*a(n-12) +799868*a(n-15) -3070635*a(n-18) +8464040*a(n-21) -16514775*a(n-24) +19850956*a(n-27) +507284*a(n-30) -49936700*a(n-33) +87410468*a(n-36) -81815088*a(n-39) +52347751*a(n-42) -24360640*a(n-45) +8126204*a(n-48) -1987776*a(n-51) +346880*a(n-54) -31744*a(n-57) +1024*a(n-60) for n>64

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A255880 A100968 A203056 * A183743 A236743 A031987

Adjacent sequences: A252327 A252328 A252329 * A252331 A252332 A252333

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 16 2014

STATUS

approved