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A304897 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
2, 86, 330, 2373, 13954, 88308, 546357, 3395402, 21113828, 131172423, 815495131, 5068082120, 31501875273, 195796100483, 1216969262017, 7564039441124, 47014056913283, 292214759342258, 1816252628655892, 11288871528329054 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A304901.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +25*a(n-2) -7*a(n-3) -142*a(n-4) -33*a(n-5) -65*a(n-6) -537*a(n-7) +1064*a(n-8) +2838*a(n-9) +970*a(n-10) -3560*a(n-11) -6459*a(n-12) +6033*a(n-13) -5863*a(n-14) +6939*a(n-15) +35098*a(n-16) -54497*a(n-17) +12078*a(n-18) -43634*a(n-19) +34947*a(n-20) +22730*a(n-21) -82308*a(n-22) +155432*a(n-23) -122335*a(n-24) +188320*a(n-25) -273271*a(n-26) +181445*a(n-27) -199138*a(n-28) +238069*a(n-29) -124583*a(n-30) +124586*a(n-31) -78418*a(n-32) +38490*a(n-33) -17797*a(n-34) -7870*a(n-35) +7590*a(n-36) -6928*a(n-37) +7875*a(n-38) -6027*a(n-39) +3984*a(n-40) -2232*a(n-41) +750*a(n-42) -348*a(n-43) +108*a(n-44) -16*a(n-45) +16*a(n-46) for n>48

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A304901.

Sequence in context: A226842 A303892 A305284 * A316579 A304593 A316379

Adjacent sequences:  A304894 A304895 A304896 * A304898 A304899 A304900

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 20 2018

STATUS

approved

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Last modified July 25 16:03 EDT 2021. Contains 346291 sequences. (Running on oeis4.)