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A297820 Number of nX5 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. 1
3, 166, 399, 1395, 4444, 14237, 43931, 134395, 412427, 1268252, 3904488, 12035011, 37073205, 114147345, 351479919, 1082415552, 3333611748, 10266940149, 31619860897, 97381441665, 299912849035, 923670230344, 2844725104582 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A297823.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +11*a(n-3) -24*a(n-5) +48*a(n-6) -119*a(n-7) +168*a(n-8) -132*a(n-9) +31*a(n-10) +127*a(n-11) -446*a(n-12) +750*a(n-13) -732*a(n-14) +777*a(n-15) -139*a(n-16) -357*a(n-17) +864*a(n-18) -1281*a(n-19) +1770*a(n-20) -1373*a(n-21) +1071*a(n-22) -212*a(n-23) -1440*a(n-24) -622*a(n-25) -1426*a(n-26) +2007*a(n-27) -475*a(n-28) +389*a(n-29) -705*a(n-30) -1814*a(n-31) +106*a(n-32) +727*a(n-33) +837*a(n-34) +1338*a(n-35) +994*a(n-36) +473*a(n-37) +246*a(n-38) -150*a(n-39) -417*a(n-40) -458*a(n-41) -254*a(n-42) -226*a(n-43) -110*a(n-44) -14*a(n-45) +28*a(n-46) +12*a(n-47) +8*a(n-48) +8*a(n-49) for n>55

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297823.

Sequence in context: A012806 A020545 A228193 * A297990 A298843 A298650

Adjacent sequences:  A297817 A297818 A297819 * A297821 A297822 A297823

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 2018

STATUS

approved

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Last modified December 2 19:48 EST 2021. Contains 349445 sequences. (Running on oeis4.)