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A305645 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1
5, 21, 31, 137, 574, 2360, 13498, 83190, 481377, 2919477, 18188505, 111190231, 681420231, 4209030021, 25916430566, 159406198332, 982241553059, 6051046080917, 37258819107772, 229490403681192, 1413605674151764 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A305649.

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) -53*a(n-2) +208*a(n-3) -1025*a(n-4) +3124*a(n-5) -6614*a(n-6) +20019*a(n-7) -52896*a(n-8) +95825*a(n-9) -213582*a(n-10) +452071*a(n-11) -722917*a(n-12) +1317805*a(n-13) -2044503*a(n-14) +2703274*a(n-15) -4185687*a(n-16) +4037722*a(n-17) -3566939*a(n-18) +2631534*a(n-19) +6295616*a(n-20) -11042762*a(n-21) +24218324*a(n-22) -54093882*a(n-23) +63608167*a(n-24) -77176201*a(n-25) +118700537*a(n-26) -166637364*a(n-27) +138057125*a(n-28) -110211186*a(n-29) +164465821*a(n-30) -107581221*a(n-31) +147189359*a(n-32) -69901128*a(n-33) -233098157*a(n-34) +37858384*a(n-35) +6891596*a(n-36) +250149252*a(n-37) -131157175*a(n-38) +122684063*a(n-39) -39643231*a(n-40) -101368179*a(n-41) -102287871*a(n-42) -94827300*a(n-43) +50798280*a(n-44) +27596612*a(n-45) +23871896*a(n-46) +11304776*a(n-47) +4047152*a(n-48) +902752*a(n-49) -175152*a(n-50) +240928*a(n-51) -119104*a(n-52) +7552*a(n-53) +2560*a(n-54) for n>57

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305649.

Sequence in context: A317156 A304665 A306168 * A316921 A316423 A317425

Adjacent sequences:  A305642 A305643 A305644 * A305646 A305647 A305648

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 07 2018

STATUS

approved

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Last modified January 19 20:48 EST 2022. Contains 350466 sequences. (Running on oeis4.)