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A298191 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 1
8, 88, 354, 1609, 7629, 35969, 168880, 794047, 3736043, 17575235, 82668460, 388888693, 1829387003, 8605510483, 40481162195, 190427671677, 895788498856, 4213872268141, 19822459102984, 93246700831399, 438641207473484 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A298195.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +47*a(n-3) -174*a(n-4) +264*a(n-5) -166*a(n-6) +417*a(n-7) +276*a(n-8) -2329*a(n-9) +3838*a(n-10) -9503*a(n-11) +13021*a(n-12) -14443*a(n-13) +26856*a(n-14) -20434*a(n-15) +7833*a(n-16) -20616*a(n-17) -34499*a(n-18) +100276*a(n-19) -90932*a(n-20) +508480*a(n-21) -847993*a(n-22) +959589*a(n-23) -2200626*a(n-24) +2843014*a(n-25) -3104212*a(n-26) +4186274*a(n-27) -3170646*a(n-28) +1693677*a(n-29) -1885652*a(n-30) -1469436*a(n-31) +4912361*a(n-32) -3473828*a(n-33) +4942301*a(n-34) -4157310*a(n-35) +1472445*a(n-36) -2526405*a(n-37) +563591*a(n-38) +1848869*a(n-39) -462692*a(n-40) -423210*a(n-41) +430042*a(n-42) -481990*a(n-43) -416719*a(n-44) +198236*a(n-45) +521983*a(n-46) -690217*a(n-47) +299*a(n-48) +118772*a(n-49) -131934*a(n-50) +115558*a(n-51) +76599*a(n-52) +44797*a(n-53) +32892*a(n-54) +21732*a(n-55) +9004*a(n-56) -4648*a(n-57) -7444*a(n-58) -3402*a(n-59) -860*a(n-60) -838*a(n-61) -52*a(n-62) -40*a(n-63) -80*a(n-64) for n>66

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298195.

Sequence in context: A045643 A250228 A250276 * A299085 A299341 A299848

Adjacent sequences: A298188 A298189 A298190 * A298192 A298193 A298194

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2018

STATUS

approved

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Last modified January 28 08:35 EST 2023. Contains 359850 sequences. (Running on oeis4.)