A304229 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 7 king-move adjacent elements, with upper left element zero.

64, 21, 22, 97, 237, 1047, 5541, 19470, 72554, 329358, 1331161, 5120619, 21276175, 87804949, 349859140, 1418049994, 5809015813, 23497185055, 95020229983, 386707125531, 1570037273822, 6360323882123, 25819095718742, 104839429584858

Offset

1,1

Comments

Column 7 of A304230.

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) +46*a(n-3) +19*a(n-4) -109*a(n-5) -722*a(n-6) -341*a(n-7) +1126*a(n-8) +5123*a(n-9) +1568*a(n-10) -5121*a(n-11) -21519*a(n-12) -2459*a(n-13) +13191*a(n-14) +62645*a(n-15) -1411*a(n-16) -19872*a(n-17) -131183*a(n-18) +11058*a(n-19) +14817*a(n-20) +199024*a(n-21) -19396*a(n-22) +3061*a(n-23) -219869*a(n-24) +18700*a(n-25) -18617*a(n-26) +176698*a(n-27) -10818*a(n-28) +19827*a(n-29) -103176*a(n-30) +3867*a(n-31) -11600*a(n-32) +43519*a(n-33) -877*a(n-34) +4172*a(n-35) -13011*a(n-36) +139*a(n-37) -920*a(n-38) +2632*a(n-39) -15*a(n-40) +117*a(n-41) -330*a(n-42) -6*a(n-44) +20*a(n-45) for n>50

Example

Some solutions for n=5
..0..0..0..0..0..0..0. .0..0..0..0..0..0..0. .0..0..0..0..0..0..0
..0..1..1..0..1..0..0. .0..1..0..0..0..1..0. .0..0..0..0..0..0..0
..0..0..0..0..0..1..0. .0..0..1..0..0..1..0. .0..0..0..0..0..1..0
..0..0..0..0..0..0..0. .0..0..0..0..0..0..0. .0..0..0..0..0..1..0
..0..0..0..0..0..0..0. .0..0..0..0..0..0..0. .0..0..0..0..0..0..0

Crossrefs

Cf. A304230.

Sequence in context: A226044 A065790 A147792 * A305039 A305585 A316692

Adjacent sequences: A304226 A304227 A304228 * A304230 A304231 A304232

Keyword

nonn

Author

R. H. Hardin, May 08 2018

Status

approved