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A302305 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
5, 21, 26, 66, 153, 380, 1090, 3120, 9130, 28503, 92139, 306958, 1051554, 3668169, 12963076, 46237599, 165941571, 598016312, 2161073292, 7823738491, 28358286582, 102869586674, 373350974508, 1355483499654, 4922288630695, 17877323961313 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A302309.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -a(n-2) +13*a(n-3) -39*a(n-4) -46*a(n-5) -69*a(n-6) +127*a(n-7) +351*a(n-8) +398*a(n-9) +182*a(n-10) -501*a(n-11) -1019*a(n-12) -1557*a(n-13) -1491*a(n-14) -1959*a(n-15) -1262*a(n-16) +1382*a(n-17) +5918*a(n-18) +10142*a(n-19) +9318*a(n-20) +6522*a(n-21) +3234*a(n-22) +7658*a(n-23) +7127*a(n-24) -8022*a(n-25) -34050*a(n-26) -48544*a(n-27) -31871*a(n-28) +435*a(n-29) +28903*a(n-30) +28894*a(n-31) +6166*a(n-32) -21872*a(n-33) -19757*a(n-34) +5445*a(n-35) +29560*a(n-36) +30055*a(n-37) +7892*a(n-38) -7579*a(n-39) -11238*a(n-40) -4021*a(n-41) +1118*a(n-42) +848*a(n-43) -2208*a(n-44) -2176*a(n-45) -926*a(n-46) +1360*a(n-47) +502*a(n-48) -167*a(n-49) +425*a(n-50) -101*a(n-51) -197*a(n-52) +22*a(n-53) +80*a(n-54) +6*a(n-55) +8*a(n-56) +3*a(n-57) -18*a(n-58) -a(n-59) +3*a(n-60) for n>61

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A302309.

Sequence in context: A268527 A176300 A042319 * A351325 A303965 A304351

Adjacent sequences: A302302 A302303 A302304 * A302306 A302307 A302308

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 05 2018

STATUS

approved

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Last modified February 4 03:47 EST 2023. Contains 360045 sequences. (Running on oeis4.)