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A302325 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 81, 281, 953, 3559, 14022, 55727, 218945, 863315, 3440917, 13790826, 55318042, 222174413, 894490623, 3609079051, 14580970526, 58964739319, 238673570964, 966918646489, 3919864249187, 15899457324900, 64518777918726 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A302322.

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) -84*a(n-2) +178*a(n-3) +212*a(n-4) -2124*a(n-5) +5269*a(n-6) -3510*a(n-7) -17782*a(n-8) +58832*a(n-9) -63504*a(n-10) -34777*a(n-11) +238070*a(n-12) -503595*a(n-13) +483969*a(n-14) +380322*a(n-15) -1784881*a(n-16) +2885550*a(n-17) -2388299*a(n-18) -2044710*a(n-19) +8508331*a(n-20) -11069640*a(n-21) +6484882*a(n-22) +7814399*a(n-23) -23937227*a(n-24) +24744757*a(n-25) -8770039*a(n-26) -17134504*a(n-27) +36991911*a(n-28) -30236995*a(n-29) +6289056*a(n-30) +18222888*a(n-31) -30552741*a(n-32) +21644939*a(n-33) -5928173*a(n-34) -8448247*a(n-35) +15861968*a(n-36) -11557208*a(n-37) +5135768*a(n-38) +2731821*a(n-39) -6378730*a(n-40) +3495647*a(n-41) -2416045*a(n-42) -175726*a(n-43) +2217206*a(n-44) -844338*a(n-45) +548408*a(n-46) -120262*a(n-47) -541952*a(n-48) +200352*a(n-49) -45224*a(n-50) +12896*a(n-51) +69488*a(n-52) -22848*a(n-53) -3840*a(n-54) +3200*a(n-55) -4864*a(n-56) +1536*a(n-57) for n>58

EXAMPLE

Some solutions for n=5

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

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

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

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

CROSSREFS

Cf. A302322.

Sequence in context: A302417 A227227 A303184 * A303018 A247536 A302822

Adjacent sequences:  A302322 A302323 A302324 * A302326 A302327 A302328

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 05 2018

STATUS

approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)