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A299678 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
8, 29, 45, 211, 1477, 7279, 35408, 196107, 1040287, 5315858, 28124011, 149025299, 777448355, 4081354892, 21511416831, 112879169620, 592476764652, 3115326159997, 16366236764640, 85947859462952, 451603410329806 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A299682.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -6*a(n-2) +56*a(n-3) -243*a(n-4) +21*a(n-5) -437*a(n-6) +3223*a(n-7) -4595*a(n-8) +10082*a(n-9) -21139*a(n-10) +50558*a(n-11) -135270*a(n-12) +248619*a(n-13) -324967*a(n-14) +491379*a(n-15) -1145574*a(n-16) +1798776*a(n-17) -2438838*a(n-18) +3186250*a(n-19) -3751124*a(n-20) +4785763*a(n-21) -4984892*a(n-22) +5983608*a(n-23) -4269978*a(n-24) +4011088*a(n-25) -6338505*a(n-26) +5444651*a(n-27) -7492403*a(n-28) +5780137*a(n-29) -9099704*a(n-30) +4564720*a(n-31) -3039734*a(n-32) -808886*a(n-33) +12731179*a(n-34) -19207932*a(n-35) +30963112*a(n-36) -19704562*a(n-37) +20972375*a(n-38) -10591705*a(n-39) +875475*a(n-40) +7526951*a(n-41) -12820425*a(n-42) +6206261*a(n-43) -11152799*a(n-44) -1704733*a(n-45) +879253*a(n-46) -4852078*a(n-47) +2300159*a(n-48) +195288*a(n-49) +1765994*a(n-50) +1922313*a(n-51) +480549*a(n-52) -84268*a(n-53) -435326*a(n-54) -156870*a(n-55) -26140*a(n-56) +10628*a(n-57) +9372*a(n-58) +1280*a(n-59) +424*a(n-60) +48*a(n-61) for n>64

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299682.

Sequence in context: A034167 A299011 A299802 * A300310 A171442 A341402

Adjacent sequences:  A299675 A299676 A299677 * A299679 A299680 A299681

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 16 2018

STATUS

approved

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Last modified September 20 08:10 EDT 2021. Contains 347577 sequences. (Running on oeis4.)