A252327 Number of (n+2)X(1+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

2018, 4006, 6089, 10227, 20782, 39981, 72899, 153357, 302168, 567097, 1202847, 2368322, 4484823, 9480225, 18658628, 35562999, 74794479, 147237358, 282119525, 590411221, 1162720678, 2237698497, 4661704539, 9186014080, 17745282263

Offset

1,1

Comments

Column 1 of A252334

Links

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

Formula

Empirical: a(n) = 22*a(n-3) -191*a(n-6) +8*a(n-7) +4*a(n-8) +867*a(n-9) -115*a(n-10) -49*a(n-11) -2338*a(n-12) +614*a(n-13) +210*a(n-14) +3930*a(n-15) -1747*a(n-16) -426*a(n-17) -3833*a(n-18) +3086*a(n-19) +168*a(n-20) +730*a(n-21) -3642*a(n-22) +1755*a(n-23) +4220*a(n-24) +2727*a(n-25) -6202*a(n-26) -7619*a(n-27) -197*a(n-28) +11823*a(n-29) +6982*a(n-30) -3483*a(n-31) -15210*a(n-32) -3451*a(n-33) +6506*a(n-34) +13540*a(n-35) +382*a(n-36) -7104*a(n-37) -8304*a(n-38) +255*a(n-39) +5692*a(n-40) +3867*a(n-41) +646*a(n-42) -3687*a(n-43) -2086*a(n-44) -1221*a(n-45) +2079*a(n-46) +1546*a(n-47) +830*a(n-48) -1119*a(n-49) -864*a(n-50) +49*a(n-51) +516*a(n-52) +348*a(n-53) -505*a(n-54) -154*a(n-55) -156*a(n-56) +294*a(n-57) +4*a(n-58) +44*a(n-59) -48*a(n-60) +16*a(n-61) -8*a(n-62) for n>73

Example

Some solutions for n=4
..3..2..0....0..3..0....2..1..2....1..3..2....0..1..2....0..0..3....0..3..2
..2..1..2....2..0..3....3..2..0....2..0..3....2..2..1....2..1..2....3..0..2
..0..2..3....1..2..2....0..2..3....2..3..1....3..3..0....3..2..0....0..3..2
..3..2..3....2..3..3....0..1..2....1..0..2....0..1..2....3..2..3....2..2..1
..2..1..2....2..0..3....3..2..3....3..0..0....3..2..3....0..1..2....3..3..2
..3..3..0....1..2..2....3..3..0....2..0..1....3..3..0....3..0..0....3..0..2

Crossrefs

Sequence in context: A183768 A119517 A252334 * A252326 A119423 A176913

Adjacent sequences: A252324 A252325 A252326 * A252328 A252329 A252330

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved