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A302891 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 3, 141, 238, 2278, 12782, 98458, 714934, 5542097, 43212107, 339688717, 2688321962, 21308399522, 169280033672, 1345687831167, 10704512813411, 85174284764693, 677851440008972, 5395169330701188, 42943990203275896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A302889.

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) -12*a(n-2) -356*a(n-3) +616*a(n-4) +5083*a(n-5) -8496*a(n-6) -45548*a(n-7) +56196*a(n-8) +312181*a(n-9) -273657*a(n-10) -1619340*a(n-11) +1141670*a(n-12) +6721822*a(n-13) -4280936*a(n-14) -23586213*a(n-15) +14143180*a(n-16) +70972322*a(n-17) -42559939*a(n-18) -179915012*a(n-19) +118698279*a(n-20) +379886532*a(n-21) -289705583*a(n-22) -669242363*a(n-23) +574942292*a(n-24) +1024958274*a(n-25) -945572342*a(n-26) -1418419501*a(n-27) +1353749786*a(n-28) +1760748357*a(n-29) -1743439270*a(n-30) -1875647765*a(n-31) +2042011697*a(n-32) +1638648467*a(n-33) -2153570928*a(n-34) -1137848157*a(n-35) +1988432432*a(n-36) +621772336*a(n-37) -1503116866*a(n-38) -287645124*a(n-39) +872723132*a(n-40) +133853876*a(n-41) -374946624*a(n-42) -75375840*a(n-43) +109068696*a(n-44) +36225824*a(n-45) -18718304*a(n-46) -12108800*a(n-47) +83968*a(n-48) +1946624*a(n-49) +634880*a(n-50) +65536*a(n-51) for n>54

EXAMPLE

Some solutions for n=5

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

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

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

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

CROSSREFS

Cf. A302889.

Sequence in context: A302370 A303086 A131502 * A303626 A100253 A175040

Adjacent sequences:  A302888 A302889 A302890 * A302892 A302893 A302894

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 15 2018

STATUS

approved

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)