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A297911 Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 4 king-move adjacent elements, with upper left element zero. 1
1, 37, 49, 268, 1281, 6044, 35788, 202419, 1185261, 7019883, 41587204, 247466600, 1473539379, 8779229844, 52328527005, 311935886924, 1859664649220, 11087232235437, 66102801315050, 394114238480798, 2349777543146581 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A297915.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +17*a(n-2) +8*a(n-3) -175*a(n-4) -444*a(n-5) -49*a(n-6) +2374*a(n-7) +5089*a(n-8) -767*a(n-9) -16094*a(n-10) -17688*a(n-11) +11930*a(n-12) +42137*a(n-13) +7116*a(n-14) -54064*a(n-15) -11042*a(n-16) +70736*a(n-17) +19957*a(n-18) -121239*a(n-19) -35346*a(n-20) +121686*a(n-21) +48545*a(n-22) +127703*a(n-23) +97831*a(n-24) -51313*a(n-25) -210204*a(n-26) -282230*a(n-27) +192823*a(n-28) +682034*a(n-29) +527451*a(n-30) -351619*a(n-31) -854102*a(n-32) -607231*a(n-33) +195221*a(n-34) +221981*a(n-35) +185987*a(n-36) +57479*a(n-37) -182348*a(n-38) -52811*a(n-39) -24298*a(n-40) +21989*a(n-41) +15590*a(n-42) +6759*a(n-43) -1730*a(n-44) -614*a(n-45) -1316*a(n-46) -70*a(n-47) +264*a(n-48) -24*a(n-49) -8*a(n-50) for n>53

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297915.

Sequence in context: A083240 A162556 A129072 * A253019 A298504 A074401

Adjacent sequences:  A297908 A297909 A297910 * A297912 A297913 A297914

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 08 2018

STATUS

approved

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Last modified October 19 09:08 EDT 2021. Contains 348074 sequences. (Running on oeis4.)