A278205 Number of nX5 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.

0, 161, 4827, 117088, 3295771, 93838003, 2644587148, 74502577363, 2100207846025, 59204820850114, 1668914682945041, 47044781998461473, 1326141579240041036, 37382494487271576091, 1053771855874680878859, 29704682675479642221344

Offset

1,2

Comments

Column 5 of A278208.

Links

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

Formula

Empirical: a(n) = 19*a(n-1) +189*a(n-2) +1584*a(n-3) +10608*a(n-4) +14412*a(n-5) -85090*a(n-6) -391138*a(n-7) -1606034*a(n-8) -2817596*a(n-9) +5687406*a(n-10) +8027881*a(n-11) +19438705*a(n-12) +68401755*a(n-13) -31364868*a(n-14) -61559855*a(n-15) -91683401*a(n-16) -479455372*a(n-17) +12586341*a(n-18) -58748050*a(n-19) -86449447*a(n-20) +1397633647*a(n-21) -203563888*a(n-22) +375197049*a(n-23) +833933492*a(n-24) -1926809978*a(n-25) +421547099*a(n-26) -230101783*a(n-27) -639000471*a(n-28) +809196262*a(n-29) +51478617*a(n-30) -9474388*a(n-31) -240861719*a(n-32) +36942959*a(n-33) +34157730*a(n-34) -3062038*a(n-35) +203994920*a(n-36) -123672724*a(n-37) -22260448*a(n-38) +9217234*a(n-39) -17678304*a(n-40) +15339168*a(n-41) +1345364*a(n-42) -884528*a(n-43) -95208*a(n-44) -422416*a(n-45) +21888*a(n-46) +7488*a(n-47) +17280*a(n-48) for n>49

Example

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

Crossrefs

Cf. A278208.

Sequence in context: A196635 A196640 A232072 * A197089 A278890 A135699

Adjacent sequences: A278202 A278203 A278204 * A278206 A278207 A278208

Keyword

nonn

Author

R. H. Hardin, Nov 15 2016

Status

approved