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A283953 Number of 4Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 1
0, 0, 900, 16648, 264482, 4242700, 64614384, 948567440, 13692510028, 194684984664, 2732350150328, 37970482883588, 523376223847790, 7164059469775432, 97485442889266544, 1319817637818838080 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row 4 of A283950.

LINKS

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

FORMULA

Empirical: a(n) = 16*a(n-1) -8*a(n-2) +284*a(n-3) -5868*a(n-4) -28230*a(n-5) -157554*a(n-6) -173236*a(n-7) +1146756*a(n-8) +7892098*a(n-9) +25593935*a(n-10) +36554864*a(n-11) -55986547*a(n-12) -432158954*a(n-13) -1204632264*a(n-14) -1998691250*a(n-15) -1605250954*a(n-16) +294441830*a(n-17) +809141749*a(n-18) -1344109538*a(n-19) -103523380*a(n-20) +5289951936*a(n-21) +2914513239*a(n-22) -5852825596*a(n-23) -3883862757*a(n-24) +6008029086*a(n-25) +3960433969*a(n-26) -6028634000*a(n-27) -2764777189*a(n-28) +6310228182*a(n-29) +2948307946*a(n-30) -4841207198*a(n-31) -3654980824*a(n-32) +1938808856*a(n-33) +2350470949*a(n-34) -14404886*a(n-35) -836811271*a(n-36) -578351728*a(n-37) +95766913*a(n-38) +329294420*a(n-39) +51047632*a(n-40) -103322336*a(n-41) +3540417*a(n-42) +53070582*a(n-43) +4003494*a(n-44) -9177612*a(n-45) -7358386*a(n-46) -3173056*a(n-47) +1093461*a(n-48) +565312*a(n-49) -841952*a(n-50) -282366*a(n-51) +325420*a(n-52) +31324*a(n-53) -41337*a(n-54) +5404*a(n-55) -196*a(n-56)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A283950.

Sequence in context: A258155 A204320 A204316 * A262847 A093230 A093798

Adjacent sequences:  A283950 A283951 A283952 * A283954 A283955 A283956

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 18 2017

STATUS

approved

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Last modified January 17 15:20 EST 2022. Contains 350402 sequences. (Running on oeis4.)