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A300310 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
8, 29, 45, 211, 1537, 8135, 41485, 237494, 1335377, 7220188, 39898274, 222289040, 1223973190, 6747658497, 37357592557, 206400784559, 1139340023954, 6296448768518, 34794231928876, 192191214782093, 1061796400589644 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A300314.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -18*a(n-2) +70*a(n-3) -322*a(n-4) +361*a(n-5) -313*a(n-6) +3440*a(n-7) -10094*a(n-8) +16988*a(n-9) -28221*a(n-10) +73982*a(n-11) -199678*a(n-12) +479468*a(n-13) -793158*a(n-14) +925262*a(n-15) -1954164*a(n-16) +4127614*a(n-17) -6407292*a(n-18) +8175969*a(n-19) -8673631*a(n-20) +12171733*a(n-21) -16358559*a(n-22) +19137438*a(n-23) -16516504*a(n-24) +10215879*a(n-25) -19973774*a(n-26) +20952359*a(n-27) -11874866*a(n-28) +6728183*a(n-29) -5330656*a(n-30) +8897807*a(n-31) -7767199*a(n-32) -2301042*a(n-33) +21535378*a(n-34) -18718181*a(n-35) +19792800*a(n-36) -24230147*a(n-37) +24223480*a(n-38) -20874941*a(n-39) +6026189*a(n-40) -619358*a(n-41) -5800306*a(n-42) +3505724*a(n-43) +471730*a(n-44) +1046928*a(n-45) +577343*a(n-46) +176833*a(n-47) -194370*a(n-48) -207100*a(n-49) -27997*a(n-50) -10625*a(n-51) +7207*a(n-52) +5466*a(n-53) +194*a(n-54) +204*a(n-55) for n>59

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A300314.

Sequence in context: A299011 A299802 A299678 * A171442 A341402 A247541

Adjacent sequences:  A300307 A300308 A300309 * A300311 A300312 A300313

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 02 2018

STATUS

approved

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Last modified September 18 04:22 EDT 2021. Contains 347508 sequences. (Running on oeis4.)