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A252298 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7 1
864, 1048, 1303, 1763, 2587, 3681, 5496, 8599, 12992, 19992, 32104, 49834, 77450, 125807, 198246, 311080, 507571, 807690, 1272428, 2078175, 3328832, 5253424, 8575692, 13798837, 21794113, 35531999, 57366057, 90629146, 147512524 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A252305

LINKS

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

FORMULA

Empirical: a(n) = 23*a(n-3) +a(n-4) -232*a(n-6) -21*a(n-7) +1355*a(n-9) +191*a(n-10) -5102*a(n-12) -996*a(n-13) +2*a(n-14) +13073*a(n-15) +3342*a(n-16) -45*a(n-17) -23526*a(n-18) -7743*a(n-19) +438*a(n-20) +30463*a(n-21) +13120*a(n-22) -2418*a(n-23) -29345*a(n-24) -17085*a(n-25) +8335*a(n-26) +22594*a(n-27) +17533*a(n-28) -18555*a(n-29) -15986*a(n-30) -13805*a(n-31) +26368*a(n-32) +11808*a(n-33) +7305*a(n-34) -21754*a(n-35) -8339*a(n-36) -700*a(n-37) +5632*a(n-38) +3501*a(n-39) -4446*a(n-40) +7882*a(n-41) +2343*a(n-42) +8080*a(n-43) -9345*a(n-44) -5965*a(n-45) -9352*a(n-46) +4184*a(n-47) +5516*a(n-48) +7008*a(n-49) -1220*a(n-50) -3636*a(n-51) -2944*a(n-52) +1200*a(n-53) +2416*a(n-54) +512*a(n-55) -960*a(n-56) -1216*a(n-57) +256*a(n-59) +256*a(n-60) for n>72

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A344289 A344287 A252297 * A252305 A252306 A184451

Adjacent sequences:  A252295 A252296 A252297 * A252299 A252300 A252301

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 16 2014

STATUS

approved

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Last modified August 13 22:39 EDT 2022. Contains 356109 sequences. (Running on oeis4.)