A255089 Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

8830, 9989, 20972, 63535, 211945, 753882, 2657415, 9064874, 29870755, 97410200, 329152995, 1150851045, 4035690981, 13919676261, 46779580735, 155303687089, 524239667341, 1805454881058, 6262197444959, 21595148012583, 73241853998099

Offset

1,1

Comments

Column 6 of A255091

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +26*a(n-3) -55*a(n-4) +28*a(n-5) +860*a(n-6) -936*a(n-7) -728*a(n-8) -22472*a(n-9) +24620*a(n-10) +19824*a(n-11) -59520*a(n-12) +39072*a(n-13) +14560*a(n-14) +1043296*a(n-15) -1063056*a(n-16) -418880*a(n-17) +538408*a(n-18) -104656*a(n-19) +306216*a(n-20) -3854560*a(n-21) +3560576*a(n-22) -8910272*a(n-23) +8340684*a(n-24) +460456*a(n-25) -2283632*a(n-26) +20055272*a(n-27) -17621180*a(n-28) +66236016*a(n-29) -68420284*a(n-30) +2449976*a(n-31) +8962180*a(n-32) +40785168*a(n-33) -50002976*a(n-34) -260319584*a(n-35) +257820144*a(n-36) +2777920*a(n-37) +9561600*a(n-38) +48083200*a(n-39) -57932800*a(n-40) -277724160*a(n-41) +275272704*a(n-42) +2967552*a(n-43) +15676416*a(n-44) +34320384*a(n-45) -50577408*a(n-46) -455196672*a(n-47) +455196672*a(n-48) for n>56

Example

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

Crossrefs

Cf. A255091

Sequence in context: A237761 A186582 A147529 * A255078 A031592 A250010

Adjacent sequences: A255086 A255087 A255088 * A255090 A255091 A255092

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved