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A296036 Number of nX5 0..1 arrays with each 1 adjacent to 2 or 4 king-move neighboring 1s. 1
1, 55, 251, 997, 8472, 51941, 285366, 1853852, 11570787, 69390198, 430980681, 2670679721, 16363788219, 100943289484, 623257702756, 3837414517371, 23654515841341, 145883640990507, 899130984362565, 5542569857859277 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A296039.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +3*a(n-2) +128*a(n-3) -746*a(n-4) -909*a(n-5) -6293*a(n-6) +35992*a(n-7) +63809*a(n-8) +166157*a(n-9) -891020*a(n-10) -1956676*a(n-11) -2686453*a(n-12) +12746724*a(n-13) +31345389*a(n-14) +26894726*a(n-15) -113974303*a(n-16) -281739414*a(n-17) -159264823*a(n-18) +678651173*a(n-19) +1471594058*a(n-20) +509265958*a(n-21) -2717695409*a(n-22) -4589755680*a(n-23) -595020447*a(n-24) +7006602342*a(n-25) +8634960336*a(n-26) -808150288*a(n-27) -11482781948*a(n-28) -10635854486*a(n-29) +2283999533*a(n-30) +11527331115*a(n-31) +8928622654*a(n-32) -1005541095*a(n-33) -7339656323*a(n-34) -6846449601*a(n-35) -2726209070*a(n-36) +1733362716*a(n-37) +4812513079*a(n-38) +4571448221*a(n-39) +899172633*a(n-40) -2356681935*a(n-41) -2570302359*a(n-42) -563881339*a(n-43) +839247925*a(n-44) +582273648*a(n-45) +58080097*a(n-46) -147874991*a(n-47) +43560783*a(n-48) +44608156*a(n-49) -46862788*a(n-50) +5026592*a(n-51) +3110928*a(n-52) -4741248*a(n-53) +431936*a(n-54) -15360*a(n-55)

EXAMPLE

Some solutions for n=5

..0..0..1..1..0. .0..0..1..0..1. .1..1..0..0..0. .0..1..1..0..0

..0..0..1..0..0. .0..0..1..1..1. .1..0..0..1..1. .0..0..1..0..1

..1..1..1..0..0. .0..0..0..0..0. .0..0..0..1..0. .0..1..0..1..1

..0..1..0..1..1. .1..0..0..0..0. .1..1..0..0..0. .0..0..1..0..0

..0..0..1..0..1. .1..1..0..0..0. .1..0..0..0..0. .0..1..1..0..0

CROSSREFS

Cf. A296039.

Sequence in context: A271738 A280888 A158658 * A286854 A020182 A159746

Adjacent sequences:  A296033 A296034 A296035 * A296037 A296038 A296039

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 03 2017

STATUS

approved

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Last modified July 14 18:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)