A303799 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.

64, 432, 221, 1586, 2829, 11733, 15478, 67090, 96021, 421513, 602782, 2643954, 3889941, 16782803, 25276003, 107138822, 165904207, 687475380, 1094543281, 4429929579, 7252222651, 28636327781, 48176515537, 185618761437, 320587474583

Offset

1,1

Comments

Column 7 of A303800.

Links

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

Formula

Empirical: a(n) = a(n-1) +8*a(n-2) -4*a(n-3) +19*a(n-4) -44*a(n-5) -247*a(n-6) +152*a(n-7) +18*a(n-8) +644*a(n-9) +3018*a(n-10) -2233*a(n-11) -2900*a(n-12) -4539*a(n-13) -18877*a(n-14) +17341*a(n-15) +29206*a(n-16) +16650*a(n-17) +64184*a(n-18) -79399*a(n-19) -141654*a(n-20) -27103*a(n-21) -106876*a(n-22) +223074*a(n-23) +386078*a(n-24) -7312*a(n-25) +26687*a(n-26) -396352*a(n-27) -612925*a(n-28) +103121*a(n-29) +188642*a(n-30) +475952*a(n-31) +593623*a(n-32) -215578*a(n-33) -350043*a(n-34) -399135*a(n-35) -357287*a(n-36) +290602*a(n-37) +343843*a(n-38) +206149*a(n-39) +104585*a(n-40) -257151*a(n-41) -218103*a(n-42) -44207*a(n-43) +21963*a(n-44) +149458*a(n-45) +85650*a(n-46) -19052*a(n-47) -32524*a(n-48) -52009*a(n-49) -17175*a(n-50) +18488*a(n-51) +11394*a(n-52) +6807*a(n-53) +671*a(n-54) -4551*a(n-55) -1358*a(n-56) +286*a(n-57) +117*a(n-58) +262*a(n-59) +32*a(n-60) -52*a(n-61) -2*a(n-62) +2*a(n-63) for n>71

Example

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

Crossrefs

Cf. A303800.

Sequence in context: A231841 A184773 A184765 * A305244 A304478 A316303

Adjacent sequences: A303796 A303797 A303798 * A303800 A303801 A303802

Keyword

nonn

Author

R. H. Hardin, Apr 30 2018

Status

approved