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A298164 Number of n X 5 0..1 arrays with every element equal to 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
0, 3, 3, 6, 10, 18, 32, 80, 171, 528, 1439, 4889, 15449, 53949, 182180, 637755, 2204512, 7715118, 26867102, 93989058, 328149079, 1147549260, 4010085072, 14021225991, 49011288024, 171356237471, 599040489814, 2094336965494, 7321826414980 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A298167.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +11*a(n-2) -23*a(n-3) -63*a(n-4) +38*a(n-5) +294*a(n-6) +37*a(n-7) -1002*a(n-8) +36*a(n-9) +2280*a(n-10) -608*a(n-11) -3730*a(n-12) +119*a(n-13) +5320*a(n-14) +4302*a(n-15) -7171*a(n-16) -13410*a(n-17) +6800*a(n-18) +28234*a(n-19) +815*a(n-20) -54073*a(n-21) -10366*a(n-22) +86948*a(n-23) +4709*a(n-24) -108386*a(n-25) +16156*a(n-26) +116955*a(n-27) -33161*a(n-28) -124987*a(n-29) +40940*a(n-30) +132629*a(n-31) -62606*a(n-32) -115911*a(n-33) +95342*a(n-34) +85712*a(n-35) -144819*a(n-36) -105111*a(n-37) +216302*a(n-38) +160234*a(n-39) -200504*a(n-40) -180984*a(n-41) +8541*a(n-42) +224078*a(n-43) +219299*a(n-44) -322041*a(n-45) -229238*a(n-46) +296497*a(n-47) +68426*a(n-48) -149490*a(n-49) +38540*a(n-50) +21468*a(n-51) -25611*a(n-52) +28803*a(n-53) -9090*a(n-54) -6735*a(n-55) +1864*a(n-56) -1716*a(n-57) +2058*a(n-58) -1281*a(n-59) -1710*a(n-60) -102*a(n-61) +264*a(n-62) -12*a(n-63) -100*a(n-64) +20*a(n-65) +28*a(n-66) +4*a(n-67).

EXAMPLE

Some solutions for n=8

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A298167.

Sequence in context: A265506 A300301 A031504 * A304265 A049871 A049924

Adjacent sequences:  A298161 A298162 A298163 * A298165 A298166 A298167

KEYWORD

nonn,changed

AUTHOR

R. H. Hardin, Jan 14 2018

STATUS

approved

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Last modified January 29 03:07 EST 2022. Contains 350672 sequences. (Running on oeis4.)