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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 21 21:32 EDT 2021. Contains 347605 sequences. (Running on oeis4.)