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A305950 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 2
1, 24, 107, 959, 8433, 76951, 705763, 6501334, 59966772, 553530259, 5110834507, 47195589996, 435849686772, 4025162271602, 37173665139688, 343312585950465, 3170626942658318, 29282022185584639, 270431457386379172 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A305954.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +24*a(n-2) -128*a(n-3) -849*a(n-4) +581*a(n-5) +8374*a(n-6) +10529*a(n-7) -26118*a(n-8) -84366*a(n-9) -54629*a(n-10) +86940*a(n-11) +246557*a(n-12) +418712*a(n-13) +644186*a(n-14) +65691*a(n-15) -1779771*a(n-16) -3241800*a(n-17) -1482989*a(n-18) +2103188*a(n-19) +3932849*a(n-20) +3239092*a(n-21) +647499*a(n-22) -3752058*a(n-23) -8820277*a(n-24) -7315312*a(n-25) -419206*a(n-26) +7790434*a(n-27) +12367865*a(n-28) +9456422*a(n-29) +1790181*a(n-30) -8909586*a(n-31) -2864355*a(n-32) +4100560*a(n-33) +5199267*a(n-34) -1625201*a(n-35) -2490563*a(n-36) +1007690*a(n-37) +280255*a(n-38) -775753*a(n-39) -608875*a(n-40) +700187*a(n-41) +458122*a(n-42) -199679*a(n-43) -166164*a(n-44) -17498*a(n-45) +30740*a(n-46) +2072*a(n-47) -1296*a(n-48) +768*a(n-49) for n>51

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305954.

Sequence in context: A100149 A013980 A100150 * A060334 A271915 A187163

Adjacent sequences: A305947 A305948 A305949 * A305951 A305952 A305953

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 15 2018

STATUS

approved

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Last modified January 31 14:49 EST 2023. Contains 359975 sequences. (Running on oeis4.)