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A305765 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
8, 112, 684, 4893, 34001, 240701, 1696681, 11974403, 84503446, 596293219, 4208024084, 29694819364, 209550997377, 1478756439349, 10435280421932, 73639617754827, 519659536754799, 3667130000780361, 25878177960620905 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A305769.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +16*a(n-2) -52*a(n-3) -89*a(n-4) +228*a(n-5) -65*a(n-6) -256*a(n-7) +754*a(n-8) -428*a(n-9) -25*a(n-10) -255*a(n-11) -768*a(n-12) +2580*a(n-13) -3804*a(n-14) +1874*a(n-15) +1205*a(n-16) -1287*a(n-17) +2505*a(n-18) -4282*a(n-19) +2886*a(n-20) -5280*a(n-21) +4994*a(n-22) -3929*a(n-23) +4905*a(n-24) -2280*a(n-25) +513*a(n-26) -1013*a(n-27) +598*a(n-28) -103*a(n-29) -43*a(n-30) +119*a(n-31) -31*a(n-32) +4*a(n-33) -14*a(n-34) +8*a(n-35) for n>37

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305769.

Sequence in context: A003721 A281951 A316179 * A317114 A305526 A317000

Adjacent sequences:  A305762 A305763 A305764 * A305766 A305767 A305768

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 10 2018

STATUS

approved

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Last modified December 3 05:05 EST 2021. Contains 349445 sequences. (Running on oeis4.)