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A300085 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
5, 8, 4, 25, 50, 98, 359, 766, 1932, 5677, 12860, 34902, 92923, 224468, 609898, 1569799, 3969016, 10617506, 27213371, 70541934, 186417464, 481204483, 1261639106, 3316784004, 8641317351, 22770348996, 59873020940, 157234586213 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A300089.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-2) +23*a(n-3) -77*a(n-4) +5*a(n-5) -303*a(n-6) +735*a(n-7) -169*a(n-8) +2494*a(n-9) -3571*a(n-10) +1775*a(n-11) -10599*a(n-12) +9687*a(n-13) -8801*a(n-14) +23592*a(n-15) -19900*a(n-16) +18698*a(n-17) -34363*a(n-18) +29869*a(n-19) -21710*a(n-20) +36339*a(n-21) -31007*a(n-22) +16036*a(n-23) -26673*a(n-24) +26280*a(n-25) -4804*a(n-26) +15200*a(n-27) -19964*a(n-28) -4002*a(n-29) -9745*a(n-30) +12193*a(n-31) +4104*a(n-32) +5170*a(n-33) -7137*a(n-34) -2131*a(n-35) -834*a(n-36) +4727*a(n-37) +2072*a(n-38) -544*a(n-39) -2800*a(n-40) -1833*a(n-41) +287*a(n-42) +1272*a(n-43) +1184*a(n-44) -38*a(n-45) -361*a(n-46) -569*a(n-47) -23*a(n-48) +69*a(n-49) +172*a(n-50) +27*a(n-51) -23*a(n-52) -34*a(n-53) -10*a(n-54) +5*a(n-55) +7*a(n-56) +a(n-57) -a(n-59) for n>61

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300089.

Sequence in context: A096413 A222591 A299447 * A186691 A199057 A090550

Adjacent sequences:  A300082 A300083 A300084 * A300086 A300087 A300088

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 24 2018

STATUS

approved

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Last modified October 23 23:08 EDT 2019. Contains 328379 sequences. (Running on oeis4.)