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A304948 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 2
1, 13, 21, 26, 70, 139, 287, 625, 1484, 3197, 7321, 17097, 38454, 89084, 206798, 474945, 1101200, 2553611, 5907111, 13701807, 31776804, 73676950, 170939314, 396615800, 920204959, 2135416683, 4955594995, 11500595479, 26691033523 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A304952.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +5*a(n-3) -31*a(n-4) +32*a(n-5) +16*a(n-6) +52*a(n-7) +14*a(n-8) -221*a(n-9) +22*a(n-10) -325*a(n-11) +843*a(n-12) -151*a(n-13) -2*a(n-14) -1461*a(n-15) +751*a(n-16) +3412*a(n-17) -361*a(n-18) -3042*a(n-19) -8060*a(n-20) +9742*a(n-21) +9624*a(n-22) +1688*a(n-23) -33552*a(n-24) -19227*a(n-25) +9268*a(n-26) +91049*a(n-27) +2002*a(n-28) -27904*a(n-29) -154203*a(n-30) +59878*a(n-31) +87740*a(n-32) +129471*a(n-33) -35874*a(n-34) -160951*a(n-35) -7952*a(n-36) +94438*a(n-37) -180117*a(n-38) -197253*a(n-39) +307576*a(n-40) +368311*a(n-41) +98137*a(n-42) -558579*a(n-43) -296247*a(n-44) +198138*a(n-45) +118173*a(n-46) -11709*a(n-47) +38946*a(n-48) +208940*a(n-49) +170100*a(n-50) -123979*a(n-51) -143507*a(n-52) -81592*a(n-53) +42843*a(n-54) -47336*a(n-55) -21652*a(n-56) +28063*a(n-57) +32007*a(n-58) +5652*a(n-59) +2431*a(n-60) +2882*a(n-61) -2062*a(n-62) +396*a(n-63) -4214*a(n-64) +1195*a(n-65) -943*a(n-66) +369*a(n-67) -93*a(n-68) +84*a(n-69) -16*a(n-70) for n>71

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A304952.

Sequence in context: A049745 A332512 A304006 * A087683 A195375 A128819

Adjacent sequences:  A304945 A304946 A304947 * A304949 A304950 A304951

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 22 2018

STATUS

approved

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Last modified January 19 01:11 EST 2021. Contains 340262 sequences. (Running on oeis4.)